Mathematics › Application of Derivative
Application of Derivative Questions
774 questions across 10 subtopics — with step-by-step solutions.
Error approximation(8)
- The shortest distance between the curves a... | Mathematics | TestHub
- A spherical chocolate ball has a layer of... | Mathematics | TestHub
- If the function , where , attains its loca... | Mathematics | TestHub
- Let be a function defined by . If is the n... | Mathematics | TestHub
- Let . If the function attains its local ma... | Mathematics | TestHub
- Let and be the critical points of the func... | Mathematics | TestHub
- The sum of all local minimum values of the... | Mathematics | TestHub
- Let f be a differentiable function on such... | Mathematics | TestHub
Inequlity(6)
- Which of the following functions satisfy f... | Mathematics | TestHub
- The result f\left(\frac{x_{1}+x_{2}+x_{3}}... | Mathematics | TestHub
- For x>1, y=\log _{e} x satisfies the inequ... | Mathematics | TestHub
- If f\left(\frac{x_{1}+x_{2}}{2}\right) \le... | Mathematics | TestHub
- For \mathrm{x} \in(0,1) , which of the fol... | Mathematics | TestHub
- Match the following inequalities with inte... | Mathematics | TestHub
Maxima-Minima(340)
- Consider the function f(x) = x e^{-ax^2} f... | Mathematics | TestHub
- The maximum distance from origin of a poin... | Mathematics | TestHub
- If the function , where , attains its maxi... | Mathematics | TestHub
- The real number when added to its inverse... | Mathematics | TestHub
- A function has a second order derivative .... | Mathematics | TestHub
- If , then at least one root of the equatio... | Mathematics | TestHub
- A point on the parabola at which the ordin... | Mathematics | TestHub
- If is a real-valued differentiable functio... | Mathematics | TestHub
- If the equation , has a positive root , th... | Mathematics | TestHub
- Area of the greatest rectangle that can be... | Mathematics | TestHub
- A spherical iron ball in radius is coated... | Mathematics | TestHub
- Practice Question | Mathematics | TestHub
- If is cubic polynomial which has local max... | Mathematics | TestHub
- If is real, the maximum value of is | Mathematics | TestHub
- The function has a local minimum at | Mathematics | TestHub
- Paragraph:Read the following passage and a... | Mathematics | TestHub
- If the probability density function of a r... | Mathematics | TestHub
- Suppose the cube has three distinct real r... | Mathematics | TestHub
- How many real solutions does the equation... | Mathematics | TestHub
- The total number of local maxima and local... | Mathematics | TestHub
- Let be a polynomial of degree 4 having ext... | Mathematics | TestHub
- The shortest distance between the line and... | Mathematics | TestHub
- Given such that is the only real root of .... | Mathematics | TestHub
- A person standing on the bank of a river o... | Mathematics | TestHub
- For the function , | Mathematics | TestHub
- The maximum value of the function on the s... | Mathematics | TestHub
- The function has | Mathematics | TestHub
- Paragraph:Consider the polynomial . Let be... | Mathematics | TestHub
- If a flagstaff of 6 metres high placed on... | Mathematics | TestHub
- Let be a function defined on (the set of a... | Mathematics | TestHub
- Let and be real-valued functions defined o... | Mathematics | TestHub
- Paragraph:Consider the polynomial . Let be... | Mathematics | TestHub
- Let be defined by . If has a local minimum... | Mathematics | TestHub
- The maximum value of the expression is | Mathematics | TestHub
- The shortest distance between line and cur... | Mathematics | TestHub
- The function , has | Mathematics | TestHub
- The minimum value of in the interval is | Mathematics | TestHub
- If a circular iron sheet of radius is heat... | Mathematics | TestHub
- Let be a real polynomial of least degree w... | Mathematics | TestHub
- If for all , then | Mathematics | TestHub
- Let be such that the function given by has... | Mathematics | TestHub
- The weight of a certain stock of fish is g... | Mathematics | TestHub
- If a metallic circular plate of radius is... | Mathematics | TestHub
- Let be defined by Statement 1: The functio... | Mathematics | TestHub
- Consider a rectangle whose length is incre... | Mathematics | TestHub
- A spherical balloon is filled with cubic m... | Mathematics | TestHub
- Let be defined as . The total number of po... | Mathematics | TestHub
- Let for all and let for all . Question:Whi... | Mathematics | TestHub
- A spherical balloon is being inflated at t... | Mathematics | TestHub
- The maximum area of a right angled triangl... | Mathematics | TestHub
- The functionhas a local minimum or a local... | Mathematics | TestHub
- Let and for . The possible value of lies i... | Mathematics | TestHub
- If the surface area of a sphere of radius... | Mathematics | TestHub
- If , then the maximum value of xy is | Mathematics | TestHub
- A line L :meetsat E(0,3) and the arc of th... | Mathematics | TestHub
- The cost of running a bus from point to po... | Mathematics | TestHub
- A rectangular sheet of fixed perimeter wit... | Mathematics | TestHub
- The volume of the largest possible right c... | Mathematics | TestHub
- The fuel charges for running a train are p... | Mathematics | TestHub
- If non-zero real numbersandare such that,... | Mathematics | TestHub
- Ifthen the equationhas : | Mathematics | TestHub
- If the volume of a spherical ball is incre... | Mathematics | TestHub
- The minimum value of is | Mathematics | TestHub
- Ifandare extreme points of, then | Mathematics | TestHub
- The function has a local minimum at | Mathematics | TestHub
- Let be a polynomial of degree three satisf... | Mathematics | TestHub
- Let be a polynomial of degree four and hav... | Mathematics | TestHub
- At , the function has | Mathematics | TestHub
- If \(0 | Mathematics | TestHub
- A cylindrical container is to be made from... | Mathematics | TestHub
- Letandbe the minimum and the maximum value... | Mathematics | TestHub
- On the interval , the function takes its m... | Mathematics | TestHub
- LetThen,is an increasing function in the i... | Mathematics | TestHub
- The minimum distance of a point on the cur... | Mathematics | TestHub
- The least value offor which,for allis | Mathematics | TestHub
- A wire of lengthunits is cut into two part... | Mathematics | TestHub
- If then the value of is | Mathematics | TestHub
- The set of all values of a for which the f... | Mathematics | TestHub
- The curve has minimum value equal to | Mathematics | TestHub
- At an extreme point of a function the tang... | Mathematics | TestHub
- The shortest distance between the parabola... | Mathematics | TestHub
- The difference between greatest and least... | Mathematics | TestHub
- Twenty meters of wire is available for fen... | Mathematics | TestHub
- Ifthen | Mathematics | TestHub
- The acceleration of a sphere falling throu... | Mathematics | TestHub
- An inverted conical flask is being filled... | Mathematics | TestHub
- If at , the function attains its maximum v... | Mathematics | TestHub
- If a right circular cone, having maximum v... | Mathematics | TestHub
- LetandIf, then the local minimum value ofis: | Mathematics | TestHub
- Letandbe respectively the absolute maximum... | Mathematics | TestHub
- If a right circularcone having maximum vol... | Mathematics | TestHub
- If is a quadratic expression such that (2)... | Mathematics | TestHub
- Let be a polynomial of degree 4 having ext... | Mathematics | TestHub
- Letand. Then the set of all, where the fun... | Mathematics | TestHub
- LetandIfattains maximum value atandattains... | Mathematics | TestHub
- Let be positive real numbers and positive... | Mathematics | TestHub
- Letbe given byThen which of the following... | Mathematics | TestHub
- A wire long is to be bent in the form of a... | Mathematics | TestHub
- Ifandare differentiable function insatisfy... | Mathematics | TestHub
- The maximum volumeof the right circular co... | Mathematics | TestHub
- The difference of maximum and minimum valu... | Mathematics | TestHub
- Letbe given byDefineThen which of the foll... | Mathematics | TestHub
- LetLetbe all the points of local maximum o... | Mathematics | TestHub
- Ifis a non-zero polynomial of degree four,... | Mathematics | TestHub
- Ifis the minimum value offor which the fun... | Mathematics | TestHub
- Themaximum value of the finction on the se... | Mathematics | TestHub
- Letbe a twice differentiable function such... | Mathematics | TestHub
- Ifandare respectively the sets of local mi... | Mathematics | TestHub
- The least value of the function in the int... | Mathematics | TestHub
- The height of a right circular cylinder of... | Mathematics | TestHub
- The maximum area (in sq. units) of a recta... | Mathematics | TestHub
- Let the function be defined by . Suppose t... | Mathematics | TestHub
- Let a function be continuous, and be defin... | Mathematics | TestHub
- Letandbe two vertical poles atrespectively... | Mathematics | TestHub
- Letbe a polynomial of degreesuch thatare i... | Mathematics | TestHub
- Ifbe a polynomial of degree three that has... | Mathematics | TestHub
- Consider the function then is | Mathematics | TestHub
- Let, be a polynomial of degree, such that,... | Mathematics | TestHub
- The set of all real valuesfor which the fu... | Mathematics | TestHub
- The area (in sq. units) of the largest rec... | Mathematics | TestHub
- Consider all rectangles lying in the regio... | Mathematics | TestHub
- Let and then the greatest of is | Mathematics | TestHub
- Letbe amatrix, whereLet a functionbe defin... | Mathematics | TestHub
- A wire of length is to be cut into two pie... | Mathematics | TestHub
- Let and be defined by and where, for any p... | Mathematics | TestHub
- Letbe a cubic polynomial withand has a loc... | Mathematics | TestHub
- Letbe defined asfor allwheresuch thatand f... | Mathematics | TestHub
- Let and be defined by f_{2}(x)=98(x-1)^{50... | Mathematics | TestHub
- Letandrespectively be the maximum and mini... | Mathematics | TestHub
- Letbe a polynomial of degreeinin which the... | Mathematics | TestHub
- A wire of lengthis cut into two pieces, on... | Mathematics | TestHub
- The maximum slope of the curve occurs at t... | Mathematics | TestHub
- If a rectangle is inscribed in an equilate... | Mathematics | TestHub
- The triangle of maximum area that can be i... | Mathematics | TestHub
- Letbe a real number such that the function... | Mathematics | TestHub
- The local maximum value of the function,is | Mathematics | TestHub
- The sum of all the local minimum values of... | Mathematics | TestHub
- Letbe a real polynomial of degreewhich van... | Mathematics | TestHub
- Let be defined by Then which of the follow... | Mathematics | TestHub
- A box open from top is made from a rectang... | Mathematics | TestHub
- Ifandrespectively are the number of local... | Mathematics | TestHub
- Letandbe any points on the curvesand, resp... | Mathematics | TestHub
- The sum of the absolute minimum and the ab... | Mathematics | TestHub
- The sum of the absolute maximum and absolu... | Mathematics | TestHub
- Let . Then which of the following statemen... | Mathematics | TestHub
- The sum of absolute maximum and absolute m... | Mathematics | TestHub
- If the absolute maximum value of the funct... | Mathematics | TestHub
- LetThen the set of all values of, for whic... | Mathematics | TestHub
- A running track of is to be laid out enclo... | Mathematics | TestHub
- The lengths of the sides of a triangle are... | Mathematics | TestHub
- Letbe a function defined by. The, which of... | Mathematics | TestHub
- A wire of lengthis to be cut into two piec... | Mathematics | TestHub
- The curvetouches the-axis at the pointand... | Mathematics | TestHub
- A spherical balloon is filled with cubic m... | Mathematics | TestHub
- Letbe a twice differentiable function insu... | Mathematics | TestHub
- Let. Ifandare respectively the number of p... | Mathematics | TestHub
- Consider a cuboid of sidesandand a closed... | Mathematics | TestHub
- A wire of lengthis to be cut into two piec... | Mathematics | TestHub
- Ifis the greatest term in the sequencethen... | Mathematics | TestHub
- Practice Question | Mathematics | TestHub
- The absolute minimum value, of the functio... | Mathematics | TestHub
- Let. Ifandrespectively are the maximum and... | Mathematics | TestHub
- In the figure, and . If the area of is , w... | Mathematics | TestHub
- Letbe a local minima of the function. Ifis... | Mathematics | TestHub
- The sum of the abosolute maximum and minim... | Mathematics | TestHub
- Let the functionhave a maxima for some val... | Mathematics | TestHub
- If the total maximum value of the function... | Mathematics | TestHub
- Let the set of all positive values of , fo... | Mathematics | TestHub
- Let be a real valued function. If and are... | Mathematics | TestHub
- A variable line passes through the point a... | Mathematics | TestHub
- Let . The number of points of local maxima... | Mathematics | TestHub
- Let a rectangle of sides 2 and 4 be inscri... | Mathematics | TestHub
- Let the maximum and minimum values of be a... | Mathematics | TestHub
- The function, has | Mathematics | TestHub
- Let. Ifandare the maximum and minimum valu... | Mathematics | TestHub
- If the function attains the maximum value... | Mathematics | TestHub
- If the function has a local maximum at and... | Mathematics | TestHub
- Let be the region enclosed by the parabola... | Mathematics | TestHub
- The maximum area of rectangle inscribed in... | Mathematics | TestHub
- Difference between the maximum and minimum... | Mathematics | TestHub
- Let denote the set of all real numbers. Fo... | Mathematics | TestHub
- Let f be a differentiable function on such... | Mathematics | TestHub
- Let be a polynomial function of degree fou... | Mathematics | TestHub
- The sum of all local minimum values of the... | Mathematics | TestHub
- Let . If the function attains its local ma... | Mathematics | TestHub
- If the set of all values of a, for which t... | Mathematics | TestHub
- Let and be the critical points of the func... | Mathematics | TestHub
- If the function , where , attains its loca... | Mathematics | TestHub
- If and if has a local maxima at , then, th... | Mathematics | TestHub
- Point on the curve which is nearest to the... | Mathematics | TestHub
- From a point perpendicular tangents are dr... | Mathematics | TestHub
- If the equation x^{3}-9 x^{2}+24 x+k=0 has... | Mathematics | TestHub
- The maximum value of the function f(x)=2 x... | Mathematics | TestHub
- The least value of 'a' for which the equat... | Mathematics | TestHub
- Minimum value of \frac{(6+x)(11+x)}{2+x} is | Mathematics | TestHub
- The Value of 'a' for which has an extremum... | Mathematics | TestHub
- Least value of f is | Mathematics | TestHub
- Number of critical points of f is | Mathematics | TestHub
- If f(x)=3 x^{2}+\int_{0}^{x} e^{-t} f(x-t)... | Mathematics | TestHub
- If f(x)=a \log |x|+b x^{2}+x has extreme v... | Mathematics | TestHub
- The maximum value of x^{-x},(x>0) is | Mathematics | TestHub
- Let . Then at , has a | Mathematics | TestHub
- Consider the equation in real numbers , .... | Mathematics | TestHub
- Let \mathrm{f}(\mathrm{x})=(\sin \theta)\l... | Mathematics | TestHub
- Match the statements in Column I with the... | Mathematics | TestHub
- f(x)=|x \ell \mathrm{n} x|: x \in(0,1) has... | Mathematics | TestHub
- The maximum area of a rectangle inscribed... | Mathematics | TestHub
- Which of the following is true? | Mathematics | TestHub
- Let f(x)=0 be an equation of degree six, h... | Mathematics | TestHub
- Practice Question | Mathematics | TestHub
- f has local maximum value | Mathematics | TestHub
- Maximum value of \log _{5}(3 \mathrm{x}+4... | Mathematics | TestHub
- Let f(x)=\frac{e^{x}}{1+x^{2}} and g(x)=f^... | Mathematics | TestHub
- Let f(x)=e^{x} / x . If f(x)=k has two dis... | Mathematics | TestHub
- The diagonal of the rectangle of maximum a... | Mathematics | TestHub
- Match the following: -List - IList - II(A)... | Mathematics | TestHub
- The minimum value of \left(\sin ^{-1} \mat... | Mathematics | TestHub
- The values of parameter 'a' for which the... | Mathematics | TestHub
- If \mathrm{y}=\mathrm{x} \sin (\log \mathr... | Mathematics | TestHub
- From a point perpendicular tangents are dr... | Mathematics | TestHub
- Which fraction exceeds its p^{\text {th }}... | Mathematics | TestHub
- \mathrm{y}=\mathrm{x}^{4}+\mathrm{ax}^{3}+... | Mathematics | TestHub
- In (0,2 \pi), f(x)=x+\sin 2 x is | Mathematics | TestHub
- For the function : Column – I (A) has a lo... | Mathematics | TestHub
- At x=0, f(x)=(3-x) e^{2 x}-4 x e^{x}-x | Mathematics | TestHub
- Let \mathrm{f}(\mathrm{x})=\mathrm{x}^{2}-... | Mathematics | TestHub
- Number of roots of f(x)=0 in (0, 10) is | Mathematics | TestHub
- Number of points of local extrema of f is | Mathematics | TestHub
- A rectangle is inscribed in an equilateral... | Mathematics | TestHub
- The function | Mathematics | TestHub
- f(x) has local maximum at x= | Mathematics | TestHub
- The interval in which the function , is st... | Mathematics | TestHub
- If \mathrm{f}:[1,5] \rightarrow \mathrm{R}... | Mathematics | TestHub
- Rolle's theorem holds for the function f(x... | Mathematics | TestHub
- A differentiable function \mathrm{f}(\math... | Mathematics | TestHub
- The least value of 'a' for which the equat... | Mathematics | TestHub
- Maximum value of f | Mathematics | TestHub
- Let f: \mathbb{R} \rightarrow \mathbb{R} s... | Mathematics | TestHub
- The minimum value of f(x)=x^{2}+\frac{250}... | Mathematics | TestHub
- A man starts from the point P(3,-3) and re... | Mathematics | TestHub
- Let f(x)=x^{3 / 5} for x \leq 1 , and f(x)... | Mathematics | TestHub
- The maximum area of a rectangle whose two... | Mathematics | TestHub
- Let f(x)=a b \sin x+b \sqrt{1-a^{2}} \cos... | Mathematics | TestHub
- Number of points where f(x) achieves local... | Mathematics | TestHub
- Match the following List: Column I (curve)... | Mathematics | TestHub
- The Value of ‘a’ for which f(x) = | Mathematics | TestHub
- The point of local extrema of g(x) for x>0... | Mathematics | TestHub
- Match the following Column I (A) \mathrm{f... | Mathematics | TestHub
- Let P=x^{3}-\frac{1}{x^{3}}, Q=x-\frac{1}{... | Mathematics | TestHub
- The number of values of x at which the fun... | Mathematics | TestHub
- Minimum value of \frac{(6+x)(11+x)}{2+x} is | Mathematics | TestHub
- If y, z>0 and y+z=C , then minimum value o... | Mathematics | TestHub
- Let f(x)=\int_{0}^{x^{2}}(t-1)(t-4)(t-9) d... | Mathematics | TestHub
- The absolute minimum value of x^{2}-4 x-10... | Mathematics | TestHub
- Let the smallest positive value of x for w... | Mathematics | TestHub
- Match the following.List IList II(A) The m... | Mathematics | TestHub
- The number of critical values of f(x)=\fra... | Mathematics | TestHub
- For a twice differentiable function \mathr... | Mathematics | TestHub
- Let \mathrm{f}(\mathrm{x})=30-2 \mathrm{x}... | Mathematics | TestHub
- For x \in[0, \pi] , let f(x)=\frac{1}{2}+\... | Mathematics | TestHub
- Let f(x)=\sin ^{3} x+\lambda \sin ^{2} x o... | Mathematics | TestHub
- In (0,2 \pi), f(x)=x+\sin 2 x is | Mathematics | TestHub
- The greatest possible value of the express... | Mathematics | TestHub
- Range of f is | Mathematics | TestHub
- If and if has a local maxima at , then, gr... | Mathematics | TestHub
- The number of critical point of f(x)=\frac... | Mathematics | TestHub
- If the greatest value of \left(3-\sqrt{4-x... | Mathematics | TestHub
- Let f be twice differentiable such that \m... | Mathematics | TestHub
- A window is in the shape of a rectangle su... | Mathematics | TestHub
- Let . If has a local maxima at , and the g... | Mathematics | TestHub
- In the coordinate plane, the region M cons... | Mathematics | TestHub
- The sum of greatest and least values of f(... | Mathematics | TestHub
- Match the statements in Column I with the... | Mathematics | TestHub
- f has local maximum at x= | Mathematics | TestHub
- Let The total number of maxima and minima... | Mathematics | TestHub
- \mathrm{f}: \mathrm{R} \rightarrow \mathrm... | Mathematics | TestHub
- The function f(x)=\sqrt{a x^{3}+b x^{2}+c... | Mathematics | TestHub
- The function has at . | Mathematics | TestHub
- The set of critical points of the function... | Mathematics | TestHub
- THE DIFFERENCE BETWEEN THE GREATEST AND LE... | Mathematics | TestHub
- f(x) has local minimum at x= | Mathematics | TestHub
- If f(x)=x^{3}+x^{2} f^{\prime}(1)+x f^{\pr... | Mathematics | TestHub
- If \mathrm{y}=\mathrm{x}^{4}+\mathrm{x}^{3... | Mathematics | TestHub
- In the coordinate plane, the region M cons... | Mathematics | TestHub
- f(x)=|x \ln x|: x \in(0,1) , then f(x) has... | Mathematics | TestHub
- A sector subtends an angle 2 \alpha at the... | Mathematics | TestHub
- IF A>0, B<0 AND A=\frac{\pi}{3}+B THEN MIN... | Mathematics | TestHub
- f(x)=\left\{\begin{array}{cll}\left(\sqrt{... | Mathematics | TestHub
- Let domain and range of f(x) and g(x) are... | Mathematics | TestHub
- STATEMENT-1: If x^{2} y^{3}=6, x>0, y>0 th... | Mathematics | TestHub
- f(x)=\frac{1}{1+|x|}+\frac{1}{1+|x-1|} . L... | Mathematics | TestHub
- The sum of two numbers is '6'. The minimum... | Mathematics | TestHub
- Let \mathrm{f}(\mathrm{x}) be a positive d... | Mathematics | TestHub
- Let \alpha and \beta respectively be the n... | Mathematics | TestHub
- If \mathrm{a}, \mathrm{b}>0, \mathrm{a}+\m... | Mathematics | TestHub
- Match the following Column - 1 with Column... | Mathematics | TestHub
- Let . Then the set of values of for which... | Mathematics | TestHub
- The maximum of f(x)=2 x^{3}-9 x^{2}+12 x+4... | Mathematics | TestHub
- Which of the following is true? | Mathematics | TestHub
- Define f(1)=8 and f(x)=|x-1|+5 for x \neq... | Mathematics | TestHub
- The minimum value of f(x)=x^{2}+\frac{250}... | Mathematics | TestHub
- Let f(x)=1-x^{3} for x \leq 1 , and f(x)=x... | Mathematics | TestHub
- Statement - 1: For the function , x=2 is n... | Mathematics | TestHub
- Number of points where f(x) achieves local... | Mathematics | TestHub
- Let \mathrm{P}(\mathrm{x}) be a polynomial... | Mathematics | TestHub
- The maximum area of a rectangle whose two... | Mathematics | TestHub
- A person wishes to lay a straight fence ac... | Mathematics | TestHub
- The maximum value of the function f(x)=2 x... | Mathematics | TestHub
- For \mathrm{x}>0,0 \leq \mathrm{t} \leq 2... | Mathematics | TestHub
- For the function consider the following tw... | Mathematics | TestHub
- Let f(x)=e^{x}-2 x for 1 \leq x \leq 2 , a... | Mathematics | TestHub
- A point ' P ' is given on the circumferenc... | Mathematics | TestHub
- If x^{2}+9 y^{2}=1 , then minimum and maxi... | Mathematics | TestHub
- Two runners A and B start at the origin an... | Mathematics | TestHub
- The coordinates of the point on the curve... | Mathematics | TestHub
- The maximum value of x^{-x},(x>0) is | Mathematics | TestHub
- Let f be a cubic polynomial with a local m... | Mathematics | TestHub
- The number of point(s) of local maxima/min... | Mathematics | TestHub
- Let \mathrm{g}(\mathrm{x})=\int_{0}^{\math... | Mathematics | TestHub
- f(x)=4+5 x^{2}+6 x^{4} has | Mathematics | TestHub
- f(x)=\left(\sin ^{2} x\right) e^{-2 \sin ^... | Mathematics | TestHub
- Which of the following functions will not... | Mathematics | TestHub
- If the graph of f(x)=2 x^{3}+a x^{2}+b x,... | Mathematics | TestHub
- The sum of two numbers is ' 6 '. The minim... | Mathematics | TestHub
- Match the following List:Column IA) The ma... | Mathematics | TestHub
- Let \mathrm{f}(\mathrm{x}) be a positive d... | Mathematics | TestHub
- If f(x)=2 x^{3}-3(p+2) x^{2}+12 p x+\ln \l... | Mathematics | TestHub
- If the function \mathrm{f}(\mathrm{x})=\le... | Mathematics | TestHub
- For f(x)=\left(x^{2}-2\right) / \sqrt{1+x^... | Mathematics | TestHub
- If \mathrm{x}, \mathrm{y}>0 then maximum v... | Mathematics | TestHub
- The function f(x)=x(x-1)(x-2)(x-3)-----(x-... | Mathematics | TestHub
- Let f(x) be a positive differentiable func... | Mathematics | TestHub
- If and if has a local maxima at , then, th... | Mathematics | TestHub
- Match List-I with List-II and select the c... | Mathematics | TestHub
- Which fraction exceeds its p^{\text {th }}... | Mathematics | TestHub
- The least value of 'a' for which the equat... | Mathematics | TestHub
- Let \mathrm{f}(\mathrm{x})=(\mathrm{x}-\ma... | Mathematics | TestHub
- Given that . Column – I a) Maximum value o... | Mathematics | TestHub
- The greatest value of \mathrm{f}(\mathrm{x... | Mathematics | TestHub
- The largest area of the rectangle which ha... | Mathematics | TestHub
Maxima-Minima- Word problems(23)
- Point on the curve y^{2}=4(x-10) which is... | Mathematics | TestHub
- A point 'P' is given on the circumference... | Mathematics | TestHub
- The maximum area of a rectangle inscribed... | Mathematics | TestHub
- A cuboid with one edge \sqrt{2} is inscrib... | Mathematics | TestHub
- The equation of a line passing through the... | Mathematics | TestHub
- A sector subtends an angle 2 \alpha at the... | Mathematics | TestHub
- A right circular cone has volume V_{1} . T... | Mathematics | TestHub
- A rectangle is inscribed in an equilateral... | Mathematics | TestHub
- A car is to be driven 200kms on a highway... | Mathematics | TestHub
- The greatest area of the rectangular plot... | Mathematics | TestHub
- The diagonal of the rectangle of maximum a... | Mathematics | TestHub
- A window is in the shape of a rectangle su... | Mathematics | TestHub
- If the petrol burnt per hour in driving a... | Mathematics | TestHub
- A factory is 5 km from a straight railway... | Mathematics | TestHub
- The point on the curve x^{2}=2 y which is... | Mathematics | TestHub
- POINT ON THE LINE x-y=3 WHICH IS NEAREST T... | Mathematics | TestHub
- The total cost of producing pocket radio s... | Mathematics | TestHub
- A factory is 5 km from a straight railway... | Mathematics | TestHub
- Two runners A and B start at the origin an... | Mathematics | TestHub
- The largest area of the rectangle which ha... | Mathematics | TestHub
- A person wishes to lay a straight fence ac... | Mathematics | TestHub
- An open-top box has a square base and uses... | Mathematics | TestHub
- A rectangle is inscribed in an equilateral... | Mathematics | TestHub
Miscellaneous/Mixed(11)
- and are in | Mathematics | TestHub
- For f(x)=2^{x}-1-x^{2} , which statements... | Mathematics | TestHub
- f(x)=|x \ln x|: x \in(0,1) , then f(x) has... | Mathematics | TestHub
- Let f\left(\frac{x+y}{2}\right)=\frac{1}{2... | Mathematics | TestHub
- Consider the following statements: Stateme... | Mathematics | TestHub
- If 2 x^{4}-8 x^{3}+8 x^{2}-1=0 has n disti... | Mathematics | TestHub
- Let f(x)=(x-2)^{2}+3 for x \geq 2 , and f(... | Mathematics | TestHub
- Assume f(x) f \prime(x) f \prime \prime(x)... | Mathematics | TestHub
- Let f(x)=\frac{x^{2}+4 x+3}{x^{2}+7 x+14}... | Mathematics | TestHub
- Let f(x)=x^{2}+x g^{\prime}(1)+g^{\prime \... | Mathematics | TestHub
- Match List-I with List-II and select the c... | Mathematics | TestHub
Monotonicity-Increasing-Decreasing(134)
- The number of points in, for which, is: | Mathematics | TestHub
- Ifis a twice differentiable function such... | Mathematics | TestHub
- A function is matched below against an int... | Mathematics | TestHub
- Let . | Mathematics | TestHub
- The function is an increasing function in | Mathematics | TestHub
- Let be a non-constant twice differentiable... | Mathematics | TestHub
- Let the function be given by . Then, is | Mathematics | TestHub
- Paragraph:Consider the function defined by... | Mathematics | TestHub
- Paragraph:Consider the function defined by... | Mathematics | TestHub
- The minimum value of the function in the i... | Mathematics | TestHub
- If a circular plate is heated uniformly, i... | Mathematics | TestHub
- The number of distinct real roots of is | Mathematics | TestHub
- The function , where and are constants, de... | Mathematics | TestHub
- If , then is | Mathematics | TestHub
- If is a decreasing function of in , then t... | Mathematics | TestHub
- Statement-1: The function is increasing fo... | Mathematics | TestHub
- Statement-1: The equation is satisfied by... | Mathematics | TestHub
- The function is increasing in the set | Mathematics | TestHub
- Letbe given bythen | Mathematics | TestHub
- The interval in which the function increas... | Mathematics | TestHub
- Letbe continuous functions which are twice... | Mathematics | TestHub
- Paragraph: Let be a thrice differentiable... | Mathematics | TestHub
- Consider the following statements in respe... | Mathematics | TestHub
- The total number of distinctfor which,is | Mathematics | TestHub
- Let, then | Mathematics | TestHub
- Let, be a continuous function then, which... | Mathematics | TestHub
- LetColumn 1 contains information about zer... | Mathematics | TestHub
- LetColumn 1 contains information about zer... | Mathematics | TestHub
- The function , where and are constants, de... | Mathematics | TestHub
- The functiondefined byis: | Mathematics | TestHub
- The maximum value ofis | Mathematics | TestHub
- LetColumn 1 contains information about zer... | Mathematics | TestHub
- The number of real solutions of the equati... | Mathematics | TestHub
- For which interval the given functionis de... | Mathematics | TestHub
- The interval in which the function is decr... | Mathematics | TestHub
- Let wherea, b and d are non-zero real cons... | Mathematics | TestHub
- If the functiongiven by, for someis increa... | Mathematics | TestHub
- If and , then in | Mathematics | TestHub
- Ifis a critical point of the functionthen | Mathematics | TestHub
- Letbe defined byand. Then the function | Mathematics | TestHub
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- Letthen which of the following is true? | Mathematics | TestHub
- The function,, is increasing for alllying in | Mathematics | TestHub
- Consider the functiondefined byThenis: | Mathematics | TestHub
- Let,. Then,is : | Mathematics | TestHub
- The number of distinct real roots of the e... | Mathematics | TestHub
- The minimum value offor which the equation... | Mathematics | TestHub
- Ifis the least value ofsuch that the funct... | Mathematics | TestHub
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- The function: | Mathematics | TestHub
- Let be a real valued function, defined on... | Mathematics | TestHub
- The number of real roots of the equationis: | Mathematics | TestHub
- Let be defined as Then is increasing funct... | Mathematics | TestHub
- Paragraph: Let and be functions such that... | Mathematics | TestHub
- The function is such that . Consider two s... | Mathematics | TestHub
- is | Mathematics | TestHub
- Let be defined asLet is increasing}. Then... | Mathematics | TestHub
- Paragraph: Let and be functions such that... | Mathematics | TestHub
- The range offor which the function, has cr... | Mathematics | TestHub
- Letandbe two functions defined byandThen,... | Mathematics | TestHub
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- Let the function, be decreasing inand incr... | Mathematics | TestHub
- Let. Ifis the range of the function, theni... | Mathematics | TestHub
- The function, is | Mathematics | TestHub
- If the maximum value of, for which the fun... | Mathematics | TestHub
- For the function, which one of the followi... | Mathematics | TestHub
- The number of distinct real roots ofis | Mathematics | TestHub
- The number of real solutions ofis equal to... | Mathematics | TestHub
- The number of distinct real roots of the e... | Mathematics | TestHub
- If the sum of all the roots of the equatio... | Mathematics | TestHub
- If and , then which of the following optio... | Mathematics | TestHub
- If the functionsandhave a common extreme p... | Mathematics | TestHub
- The function is an increasing function in | Mathematics | TestHub
- The interval in which the function is decr... | Mathematics | TestHub
- Letand. Then | Mathematics | TestHub
- Let be a differentiable function such that... | Mathematics | TestHub
- The function is increasing on | Mathematics | TestHub
- The set of all for which the equation has... | Mathematics | TestHub
- Letand. Ifis decreasing in the intervaland... | Mathematics | TestHub
- Ifand, then the value ofis equal to _____ . | Mathematics | TestHub
- Let S be the set of all twice differentiab... | Mathematics | TestHub
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- For the function , between the following t... | Mathematics | TestHub
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- The number of critical points of the funct... | Mathematics | TestHub
- The function | Mathematics | TestHub
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- Consider the function , then is | Mathematics | TestHub
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- Let the function be defined by . Then the... | Mathematics | TestHub
- Letandfor all. Ifis decreasing inand incre... | Mathematics | TestHub
- Let the function be strictly increasing in... | Mathematics | TestHub
- Let denote the set of all real numbers. Le... | Mathematics | TestHub
- Let denote the set of all real numbers. De... | Mathematics | TestHub
- Let be a function defined by . If is the n... | Mathematics | TestHub
- Let be the largest open interval in which... | Mathematics | TestHub
- Let ' a ' (\mathrm{a}<0, \mathrm{a} \notin... | Mathematics | TestHub
- f(x) increases in the region | Mathematics | TestHub
- Consider f(\mathrm{x})=\frac{\ell \mathrm{... | Mathematics | TestHub
- For x \in(0,1) which of the following is t... | Mathematics | TestHub
- \mathrm{h}(\mathrm{x}) is increasing for x... | Mathematics | TestHub
- If at each point of the curve y=x^{3}-a x^... | Mathematics | TestHub
- How many nonnegative integers satisfy f(f(... | Mathematics | TestHub
- Let f(x)=2 x^{3}+a x^{2}+b x-3 \cos ^{2} x... | Mathematics | TestHub
- Let f(x)=4 x+8 \cos x-\ln \{\cos x(1+\sin... | Mathematics | TestHub
- Find all a for which f(x)=(a+2) x^{3}-3 a... | Mathematics | TestHub
- If f^{\prime \prime}(x)>0, \forall x \in R... | Mathematics | TestHub
- INCREASES IN | Mathematics | TestHub
- Let \mathrm{g}(\mathrm{x})=\int_{1-\mathrm... | Mathematics | TestHub
- f^{\prime}\left(\sin ^{2} x\right)<f^{\pri... | Mathematics | TestHub
- Let domain and range of f(x) and g(x) are... | Mathematics | TestHub
- How many real roots does f(x)=1 /(x+1)^{3}... | Mathematics | TestHub
- Let \beta \in \mathbb{R} and let \mathrm{f... | Mathematics | TestHub
- Let h(x)=f(x)-(f(x))^{2}+(f(x))^{3} for ev... | Mathematics | TestHub
- Find all m for which f(x)=3+m x+e^{-x} is... | Mathematics | TestHub
- Let the function \mathrm{g}:(-\infty, \inf... | Mathematics | TestHub
- Let f(x)=x^{3}+\frac{1}{x^{3}}, x \neq 0 .... | Mathematics | TestHub
- Let \mathrm{g}(\mathrm{x})=\frac{1}{4} \ma... | Mathematics | TestHub
- How many nonnegative integers satisfy f(f(... | Mathematics | TestHub
- The number of critical points of \mathrm{h... | Mathematics | TestHub
- Let f:(0, \infty) \rightarrow R be a (stri... | Mathematics | TestHub
- How many local maxima does f(x)=x+\sin x h... | Mathematics | TestHub
- Let domain and range of f(x) and g(x) are... | Mathematics | TestHub
- f increases in the region | Mathematics | TestHub
- f increases in the region | Mathematics | TestHub
- f: R \rightarrow R IS A FUNCTION SUCH THAT... | Mathematics | TestHub
- If f(x)=2 \sin ^{3} x-3 \sin ^{2} x+12 \si... | Mathematics | TestHub
- Let f be a cubic polynomial with a local m... | Mathematics | TestHub
- Let and . Column I (A) increases on (B) de... | Mathematics | TestHub
- If the equation x^{5 / 3}-5 x^{2 / 3}=K ha... | Mathematics | TestHub
- \mathrm{f}(\mathrm{x})=\frac{\mathrm{x}}{\... | Mathematics | TestHub
- Let f(x)=2 x^{2}-\ln |x|, x \neq 0 , then... | Mathematics | TestHub
- Let f and g be two real valued differentia... | Mathematics | TestHub
Monotonicity-LMVT(40)
- Paragraph: Let (the set of all real number... | Mathematics | TestHub
- Paragraph: Let (the set of all real number... | Mathematics | TestHub
- The value of is | Mathematics | TestHub
- Let be the roots of the equation and Then... | Mathematics | TestHub
- The system of equations has | Mathematics | TestHub
- In how many number of ways can 10 students... | Mathematics | TestHub
- If , then is equal to | Mathematics | TestHub
- If , then is equal to | Mathematics | TestHub
- Let , be differentiable . If and , then | Mathematics | TestHub
- The value of c from the Lagrange's mean va... | Mathematics | TestHub
- Using Rolle's theorem, the equation has at... | Mathematics | TestHub
- A value of for which conclusion of Mean Va... | Mathematics | TestHub
- The value of in Rolle's Theorem for the fu... | Mathematics | TestHub
- The value of in the interval at which the... | Mathematics | TestHub
- The value of in Rolle's Theorem for the fu... | Mathematics | TestHub
- The abscissa of two points on y=(2010) x^{... | Mathematics | TestHub
- If a function f is such that its derivativ... | Mathematics | TestHub
- Let \mathrm{f}(\mathrm{x}) be a differenti... | Mathematics | TestHub
- The polynomial \mathrm{p}(\mathrm{x})=\mat... | Mathematics | TestHub
- If Lagrange’s theorem applies to on , then... | Mathematics | TestHub
- A differentiable function satisfies f(x) \... | Mathematics | TestHub
- Given a function f:[0,4] \rightarrow R is... | Mathematics | TestHub
- If \left|f^{\prime \prime}(x)\right| \leq... | Mathematics | TestHub
- If f(x) is continuous in [a, b] and differ... | Mathematics | TestHub
- The parametric equations of a curve are x=... | Mathematics | TestHub
- Let f(0)=3 and define f(x)=-x^{2}+a for 0<... | Mathematics | TestHub
- Continuous differentiable f satisfies f(2)... | Mathematics | TestHub
- Suppose \alpha, \beta and \theta are angle... | Mathematics | TestHub
- Find which function does not obey lagrange... | Mathematics | TestHub
- FIND WHICH FUNCTION DOES NOT OBEY LAGRANGE... | Mathematics | TestHub
- A twice differentiable function f(x) on (a... | Mathematics | TestHub
- Let a, b, c be three real numbers such tha... | Mathematics | TestHub
- In the expansion of \mathrm{f}(\mathrm{x})... | Mathematics | TestHub
- The value of c in the Lagrange's mean valu... | Mathematics | TestHub
- The sum of the coordinates of the point on... | Mathematics | TestHub
- Match the following. List IList II(A) The... | Mathematics | TestHub
- If \mathrm{f}(\mathrm{x}) is a differentia... | Mathematics | TestHub
- Let \mathrm{f}:[0,4] \rightarrow \mathrm{R... | Mathematics | TestHub
- Let \mathrm{a}, \mathrm{n} \in \mathrm{N}... | Mathematics | TestHub
- Let f(x) be a continuous function on [1,3]... | Mathematics | TestHub
Monotonicity-Rolle's-theroem(36)
- If f is differentiable on [a, b] and if f(... | Mathematics | TestHub
- If f(x) is continuous in \left[c_{1}, c_{2... | Mathematics | TestHub
- On [-2,3] , let f(1)=-6 and f(x)=\left(x^{... | Mathematics | TestHub
- Let \phi(x)=\frac{(x-b)(x-c)}{(a-b)(a-c)}... | Mathematics | TestHub
- If \frac{a_{0}}{5}+\frac{a_{1}}{4}+\frac{a... | Mathematics | TestHub
- The value of 'a' is | Mathematics | TestHub
- f(x)=x^{4}-10 x^{3}+35 x^{2}-50 x+c . WHER... | Mathematics | TestHub
- Let \mathrm{f}:[0,4] \rightarrow \mathrm{R... | Mathematics | TestHub
- If the function \mathrm{f}(\mathrm{x})=\ma... | Mathematics | TestHub
- If the function \mathrm{f}(\mathrm{x})=\ma... | Mathematics | TestHub
- The value of 'b' is | Mathematics | TestHub
- An even polynomial f of degree 2016 satisf... | Mathematics | TestHub
- The number of roots of x^{5}-5 x+1=0 in (-... | Mathematics | TestHub
- If f(x) is continuous in \left[c_{1}, c_{2... | Mathematics | TestHub
- If \mathrm{f}(\mathrm{x}) is twice differe... | Mathematics | TestHub
- If the function \mathrm{f}(\mathrm{x})=\ma... | Mathematics | TestHub
- A(1,0),B(e,1) are two points on the curve... | Mathematics | TestHub
- The equation 2 x^{3}-3 x^{2}-12 x+1=0 has... | Mathematics | TestHub
- If f(x) is continuous in \left[c_{1}, c_{2... | Mathematics | TestHub
- If f(x)=x^{\alpha} \log x and f(0)=0 then... | Mathematics | TestHub
- A twice differentiable function f such tha... | Mathematics | TestHub
- If and Rolle's theorem is applicable to fo... | Mathematics | TestHub
- Rolle's theorem holds in [1,2] for the fun... | Mathematics | TestHub
- If 3(a+2 c)=4(b+3 d) \neq 0 then the equat... | Mathematics | TestHub
- The function in which Rolle's theorem is v... | Mathematics | TestHub
- Statement - 1: A tangent parallel to x-axi... | Mathematics | TestHub
- Rolle's theorem holds in [1,2] for the fun... | Mathematics | TestHub
- Continuous twice-differentiable f, g satis... | Mathematics | TestHub
- Suppose f:[1,2] \rightarrow R is such that... | Mathematics | TestHub
- If f(x) is continuous in \left[c_{1}, c_{2... | Mathematics | TestHub
- If \mathrm{f}(\mathrm{x})=(1-\mathrm{x})^{... | Mathematics | TestHub
- If f(x) is continuous in \left[c_{1}, c_{2... | Mathematics | TestHub
- f(x)=x^{4}-10 x^{3}+35 x^{2}-50 x+c . wher... | Mathematics | TestHub
- The value of 'c' is | Mathematics | TestHub
- If f(x) is continuous in \left[c_{1}, c_{2... | Mathematics | TestHub
- A thrice-differentiable f on \mathbb{R} ha... | Mathematics | TestHub
Rate Measure(33)
- If is so small that and higher powers of m... | Mathematics | TestHub
- If where , for , then is equal to | Mathematics | TestHub
- The differential equation of all straight... | Mathematics | TestHub
- If ; then is equal to - | Mathematics | TestHub
- Let . Then is derivable at , if | Mathematics | TestHub
- If the equation of an elipse is , then whi... | Mathematics | TestHub
- The rate of change of the surface area of... | Mathematics | TestHub
- If there is an error of in measuring the e... | Mathematics | TestHub
- If there is an error of in measuring the e... | Mathematics | TestHub
- The volume and depth of water in a vessel... | Mathematics | TestHub
- A football is inflated by pumping air in i... | Mathematics | TestHub
- The radius of a right circular cylinder in... | Mathematics | TestHub
- A spherical iron ball of radiusis coated w... | Mathematics | TestHub
- A water tank has the shape of an inverted... | Mathematics | TestHub
- Am ladder leans against a vertical wall. I... | Mathematics | TestHub
- The position of a moving car at timeis giv... | Mathematics | TestHub
- A spherical iron ball ofradius is coated w... | Mathematics | TestHub
- If the surface area of a cube is increasin... | Mathematics | TestHub
- If the radius of a sphere is measured as w... | Mathematics | TestHub
- A water tank has the shape of a right circ... | Mathematics | TestHub
- Water is being filled at the rate ofin a r... | Mathematics | TestHub
- A square piece of tin of sideis to be made... | Mathematics | TestHub
- The altitude of a cone is 20 cm and its se... | Mathematics | TestHub
- The maximum volume (in cu. units) of the c... | Mathematics | TestHub
- The population at time of a certain mouse... | Mathematics | TestHub
- A spherical chocolate ball has a layer of... | Mathematics | TestHub
- A cyclist moving on a level road at 4 m/s... | Mathematics | TestHub
- If the petrol burnt per hour in driving a... | Mathematics | TestHub
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Tangents & Normals(143)
- Consider the function f(x) = x e^{-ax^2} f... | Mathematics | TestHub
- Tangent is drawn at any point of a curve w... | Mathematics | TestHub
- If is a root of , then the other roots are | Mathematics | TestHub
- The tangent to the curve drawn at the poin... | Mathematics | TestHub
- If and then is equal to | Mathematics | TestHub
- If is defined by , then the range is conta... | Mathematics | TestHub
- is equal to | Mathematics | TestHub
- The set of points of discontinuity of the... | Mathematics | TestHub
- The value of in order that decreases for a... | Mathematics | TestHub
- The function is strictly decreasing on | Mathematics | TestHub
- The curve has a vertical tangent at | Mathematics | TestHub
- If the normal to the curve at the point (3... | Mathematics | TestHub
- The equation of all lines having slope 2 w... | Mathematics | TestHub
- The slope of the tangent to the curveat th... | Mathematics | TestHub
- The triangle formed by the tangent to the... | Mathematics | TestHub
- Tangents are drawn from the origin to the... | Mathematics | TestHub
- The line which is parallel to X-axis and c... | Mathematics | TestHub
- The slope of the tangent to the curve cos... | Mathematics | TestHub
- Which of the following options is not the... | Mathematics | TestHub
- What is the -coordinate of the point on th... | Mathematics | TestHub
- If the tangent to the function at makes an... | Mathematics | TestHub
- If the curveandintersect at angle, thenis... | Mathematics | TestHub
- Line joining the pointsandis a tangent to... | Mathematics | TestHub
- The two curves and intersect at an angle of | Mathematics | TestHub
- The distance between the origin and the no... | Mathematics | TestHub
- The equation of the tangent to the curve a... | Mathematics | TestHub
- Letandbe positive real numbers. Supposeis... | Mathematics | TestHub
- The points at which the tangent passes thr... | Mathematics | TestHub
- If the tangent at on meets the curve again... | Mathematics | TestHub
- If the tangent at on meets the curve again... | Mathematics | TestHub
- The angle of intersection to the curve , a... | Mathematics | TestHub
- The locus of all the points on the curve a... | Mathematics | TestHub
- The two curves and | Mathematics | TestHub
- For the curve if the subnormal at any poin... | Mathematics | TestHub
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- If tangent to the curve at point on the cu... | Mathematics | TestHub
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- The shortest distance between the curves a... | Mathematics | TestHub
- The points of contact of the tangents draw... | Mathematics | TestHub
- The sum of the lengths of subtangent and t... | Mathematics | TestHub
- The number of points on the curve y^{3}-3... | Mathematics | TestHub
- The triangle formed by the normal to the c... | Mathematics | TestHub
- The number of tangents to the curve y=\cos... | Mathematics | TestHub
- Match the following List: Column I: Equati... | Mathematics | TestHub
- The sum of all the integral values of K su... | Mathematics | TestHub
- If the relation between the sub-normal and... | Mathematics | TestHub
- The shortest distance of the point (0,0) f... | Mathematics | TestHub
- The curves y^{2}=4 a x and x y=b , with a,... | Mathematics | TestHub
- Let \mathrm{y}=\mathrm{f}(\mathrm{x}) be d... | Mathematics | TestHub
- Let \vec{r} be the position vector of a po... | Mathematics | TestHub
- The angle of intersection of curves y=[|\s... | Mathematics | TestHub
- Which of the following pairs of curves int... | Mathematics | TestHub
- If 3 x+2 y=1 acts as a tangent to y=f(x) a... | Mathematics | TestHub
- The number of points lying in \{(\mathrm{x... | Mathematics | TestHub
- A normal is drawn at a point P(x, y) of a... | Mathematics | TestHub
- The cosine of the angle of intersection of... | Mathematics | TestHub
- For the curve at the point P whose ordinat... | Mathematics | TestHub
- If the tangent to the curve x=1-3 t^{2}, y... | Mathematics | TestHub
- The curves C_{1}: y=x^{2}-3 ; C_{2}: y=k x... | Mathematics | TestHub
- Let the tangent to the cubic curve x^{3}+y... | Mathematics | TestHub
- The parabolas y=x^{2}+a x+b and y=x(c-x) t... | Mathematics | TestHub
- The slope of the straight line which is bo... | Mathematics | TestHub
- The curve y=a x^{3}+b x^{2}+c x+5 , touche... | Mathematics | TestHub
- The tangent to the curve y=\frac{1+3 x^{2}... | Mathematics | TestHub
- Tangent at P_{1} other than origin on the... | Mathematics | TestHub
- The equation of the normal to the curve pa... | Mathematics | TestHub
- The tangent line of the curve y=f(x) at x=2 | Mathematics | TestHub
- Consider the curve y=e^{2 x^{2}}+2 x , the... | Mathematics | TestHub
- The parametric equations of a curve are x=... | Mathematics | TestHub
- The curve y=f(x)=a x^{3}+b x^{2}+c x+5 tou... | Mathematics | TestHub
- The curve y=f(x)=a x^{3}+b x^{2}+c x+5 tou... | Mathematics | TestHub
- Match the following.(a) The tangent at any... | Mathematics | TestHub
- Statement - 1: The points on the curve y^{... | Mathematics | TestHub
- If the line joining the points (0,3) and (... | Mathematics | TestHub
- Which curve has constant subnormal length... | Mathematics | TestHub
- The segment of the tangent to the curve x^... | Mathematics | TestHub
- A curve represented parametrically by the... | Mathematics | TestHub
- Let p be a fourth-degree polynomial with p... | Mathematics | TestHub
- The curves \frac{x^{2}}{a}+\frac{y^{2}}{b}... | Mathematics | TestHub
- Let f(x) be a continuous function which sa... | Mathematics | TestHub
- The equations of the tangents to the curve... | Mathematics | TestHub
- The tangent to x^{2}+y^{2}=4 at (1, \sqrt{... | Mathematics | TestHub
- Let the equation of a curve be \frac{x^{2}... | Mathematics | TestHub
- If \mathrm{y}=\mathrm{x}^{3}-\mathrm{c} an... | Mathematics | TestHub
- A point P describes the circle x^{2}+y^{2}... | Mathematics | TestHub
- If the length of subnormal is equal to len... | Mathematics | TestHub
- Let a curve y=f(x), f(x) \geq 0 \forall x... | Mathematics | TestHub
- Let \mathrm{f}(\mathrm{x}) be a continuous... | Mathematics | TestHub
- Three normals are drawn from the point (\m... | Mathematics | TestHub
- The equation of the straight lines which a... | Mathematics | TestHub
- The acute angle between the curves y=\left... | Mathematics | TestHub
- Match the following. (One or more entries... | Mathematics | TestHub
- Let y=a \sqrt{x}+b x be a curve and (2 x-y... | Mathematics | TestHub
- Let y=a \sqrt{x}+b x be a curve and (2 x-y... | Mathematics | TestHub
- Find the distance from (0,0) to the tangen... | Mathematics | TestHub
- One of the roots of the equation f(x)=0 is... | Mathematics | TestHub
- Find the value of a for which the area of... | Mathematics | TestHub
- A non-straight curve C in the first quadra... | Mathematics | TestHub
- Let y=a \sqrt{x}+b x be a curve and (2 x-y... | Mathematics | TestHub
- The tangent at (1,2) to y_{1}=a x^{2}+b x+... | Mathematics | TestHub
- The abscissa of the points, where the tang... | Mathematics | TestHub
- The angle between tangents at the point of... | Mathematics | TestHub
- For x=t^{2}-1, y=t^{2}-t , the tangent lin... | Mathematics | TestHub
- Tangents are drawn from origin to the curv... | Mathematics | TestHub
- Statement - 1: The tangent at x=1 , to the... | Mathematics | TestHub
- A right circular cone with radius R and he... | Mathematics | TestHub
- The number of tangents to the curve x^{3 /... | Mathematics | TestHub
- Let the equation of a curve in parametric... | Mathematics | TestHub
- A right circular cone with radius R and he... | Mathematics | TestHub
- A tangent to x y=x^{2}+1 at (\alpha, \beta... | Mathematics | TestHub
- Let the tangent to the cubic curve x^{3}+y... | Mathematics | TestHub
- One of the roots of the equation f(x)=0 is... | Mathematics | TestHub
- If f(x)+f(y)=f(x) f(y)+f(x y), f(1)=0, f^{... | Mathematics | TestHub
- The equation of normal to the curve x+y=x^... | Mathematics | TestHub
- Co-ordinates of a point on the curve y=x \... | Mathematics | TestHub
- Statement - 1: Equation of tangents to the... | Mathematics | TestHub
- A right circular cone with radius R and he... | Mathematics | TestHub
- Let f(x) be a polynomial of degree 5 . Whe... | Mathematics | TestHub
- The value of n in the equation of curve y=... | Mathematics | TestHub
- The values of the parameter 'a' so that th... | Mathematics | TestHub
- If the point on y=x \tan \alpha-\frac{a x^... | Mathematics | TestHub
- The curve y=f(x)=a x^{3}+b x^{2}+c x+5 tou... | Mathematics | TestHub
- The slope of the tangent at ordinate | Mathematics | TestHub
- Let the tangent to the cubic curve x^{3}+y... | Mathematics | TestHub
- If the curve \frac{x^{2}}{a^{2}}+\frac{y^{... | Mathematics | TestHub
- The tangent at any point on the curve x=a... | Mathematics | TestHub
- The tangent at (1,1) to y^{2}=x(2-x)^{2} m... | Mathematics | TestHub
- Statement - 1: Tangent drawn at (0,1) to t... | Mathematics | TestHub
- Tangent at a point P_{1} [other than (0,0)... | Mathematics | TestHub
- The coordinates of the point on the curve... | Mathematics | TestHub
- Maximum no. of parallel tangents of curves... | Mathematics | TestHub
- The tangent at any point P on the curve x^... | Mathematics | TestHub
- If the tangent to the curve 2 y^{3}=a x^{2... | Mathematics | TestHub
- If the tangent drawn at P\left(t=\frac{\pi... | Mathematics | TestHub
- Match the following lists: Column I (Curve... | Mathematics | TestHub
- The curves x^{3}-3 x y^{2}=a and 3 x^{2} y... | Mathematics | TestHub
- Match the following.(a) is differentiable... | Mathematics | TestHub
- One of the roots of the equation f(x)=0 is... | Mathematics | TestHub
- The distance of the origin from the normal... | Mathematics | TestHub
- If the curves \frac{x^{2}}{a^{2}}+\frac{y^... | Mathematics | TestHub
- The value of parameter t so that the line... | Mathematics | TestHub
- The maximum value of the sum of the interc... | Mathematics | TestHub
- If the points of contact of tangents to y=... | Mathematics | TestHub
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