Mathematics Questions
7,727 questions across 45 topics — with step-by-step solutions.
4 questions · 1 subtopics
- Let \mathrm{P}(\mathrm{x}) be a polynomial... | Mathematics | TestHub
- The degree of the differential equation sa... | Mathematics | TestHub
- If x_{1}, x_{2}, x_{3}, x_{4} are the root... | Mathematics | TestHub
3D Coordinate Geometry
5 questions · 4 subtopics
- Angle \theta is made by line of intersecti... | Mathematics | TestHub
- The direction cosines of two lines are con... | Mathematics | TestHub
- Find the distance of the point \hat{i}+2 \... | Mathematics | TestHub
3D-Coordinate Geometry
144 questions · 5 subtopics
- The d.r. of normal to the plane through wh... | Mathematics | TestHub
- A line with direction cosines proportional... | Mathematics | TestHub
- Let be such that . If the projection along... | Mathematics | TestHub
Application of Derivative
394 questions · 9 subtopics
- 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
Area Under Curves
240 questions · 4 subtopics
- The area bounded by the curves and is | Mathematics | TestHub
- The area of the region between the curves... | Mathematics | TestHub
- Paragraph:Consider the functions defined i... | Mathematics | TestHub
Basic maths
28 questions · 4 subtopics
- The product of all solutions of the equati... | Mathematics | TestHub
- Let be the solution of the following equat... | Mathematics | TestHub
- If , then x = | Mathematics | TestHub
Binomial Theorem
303 questions · 10 subtopics
- If the expansion in powers of of the funct... | Mathematics | TestHub
- If then the value of is | Mathematics | TestHub
- The coefficient ofin the expansion ofis | Mathematics | TestHub
Calculus Mixed
2 questions · 1 subtopics
- Let \mathrm{f}(\mathrm{n}, \mathrm{K}) be... | Mathematics | TestHub
- Match the following and choose the correct... | Mathematics | TestHub
Circle
270 questions · 14 subtopics
- The equation of four circles are (x \pm a)... | Mathematics | TestHub
- Equation of circle touching the line |x-2|... | Mathematics | TestHub
- The circles x^{2}+y^{2}-6 x+6 y+17=0 and x... | Mathematics | TestHub
Complex Number
345 questions · 10 subtopics
- If \frac{z_{1}}{z_{2}} is purely imaginary... | Mathematics | TestHub
- If the cube roots of unity are then the ro... | Mathematics | TestHub
- If , where is a complex number, then the v... | Mathematics | TestHub
Continuity - Differentiability
207 questions · 4 subtopics
- Let be a real differentiable function such... | Mathematics | TestHub
- If the functionis continuous at , then is... | Mathematics | TestHub
- Let denote the greatest integer function,... | Mathematics | TestHub
Definite Integration
500 questions · 11 subtopics
- The value of | Mathematics | TestHub
- Practice Question | Mathematics | TestHub
- Let be a continuous function such that for... | Mathematics | TestHub
Determinant
252 questions · 4 subtopics
- If the system of equationshas infinitely m... | Mathematics | TestHub
- If the system of linear equations :where ,... | Mathematics | TestHub
- If the system of equationshas infinitely m... | Mathematics | TestHub
Differential Equation
339 questions · 7 subtopics
- and are two differentiable functions on su... | Mathematics | TestHub
- Let I be the purchase value of an equipmen... | Mathematics | TestHub
- The population at time of a certain mouse... | Mathematics | TestHub
Differentiation
98 questions · 8 subtopics
- The derivative ofwith respect towhere, is | Mathematics | TestHub
- The derivative ofwith respect toatis : | Mathematics | TestHub
- is equal to | Mathematics | TestHub
Ellipse
165 questions · 11 subtopics
- The line passing through the extremity of... | Mathematics | TestHub
- The line passing through the extremityof t... | Mathematics | TestHub
- Consider the ellipse . Let , be a point. A... | Mathematics | TestHub
Functions
372 questions · 11 subtopics
- Let and . Then the number of onto function... | Mathematics | TestHub
- If , then fof is given as | Mathematics | TestHub
- Let then fof provided that: | Mathematics | TestHub
Heights and Distances
7 questions · 1 subtopics
- In a triangle , then is equal to : | Mathematics | TestHub
- A ladder rests against a wall so that its... | Mathematics | TestHub
- is a triangular park with TV tower stands... | Mathematics | TestHub
Hyperbola
90 questions · 5 subtopics
- If is the eccentricity of the ellipse and... | Mathematics | TestHub
- For the hyperbola , which of the following... | Mathematics | TestHub
- Consider a branch of the hyperbola with ve... | Mathematics | TestHub
Indefinite Integration
177 questions · 7 subtopics
- If . Then the ordered triplet is - | Mathematics | TestHub
- Let be an indefinite integral of . Stateme... | Mathematics | TestHub
- If, then, is equal to | Mathematics | TestHub
Inverse Trigonometric Function
12 questions · 4 subtopics
- If then | Mathematics | TestHub
- The value of is | Mathematics | TestHub
- Ifand, thenis equal to | Mathematics | TestHub
Inverse Trigonometric Functions
153 questions · 7 subtopics
- , then | Mathematics | TestHub
- If , then is equal to | Mathematics | TestHub
- If then a value of is | Mathematics | TestHub
Limits
253 questions · 9 subtopics
- If and , then the value of is | Mathematics | TestHub
- is equal to : | Mathematics | TestHub
- Let, thenis equal to | Mathematics | TestHub
Linear Programming
11 questions · 1 subtopics
- For the constraints of a L.P. Problem give... | Mathematics | TestHub
- Which of the following is not a vertex of... | Mathematics | TestHub
- A shopkeeper wants to purchase two article... | Mathematics | TestHub
Mathematical Induction
3 questions · 1 subtopics
- Let be the statement Which of the followin... | Mathematics | TestHub
- The maximum value ofsubject to constraintsis | Mathematics | TestHub
- For all , the sum of is | Mathematics | TestHub
Mathematical Reasoning
22 questions · 2 subtopics
- If , then is equal to | Mathematics | TestHub
- Negation of "Paris in France and London is... | Mathematics | TestHub
- Inthetruth table for the statement , the l... | Mathematics | TestHub
Matrices
278 questions · 9 subtopics
- If the adjoint of a matrix P is , then the... | Mathematics | TestHub
- If and and , then find the value of . | Mathematics | TestHub
- Let A be a matrix Statement-1 Statement-2 : | Mathematics | TestHub
Matrix
12 questions · 4 subtopics
- If , then is equal to - | Mathematics | TestHub
- Let M bea -singular matrix with . If adj ,... | Mathematics | TestHub
- If is a square matrix of order 3 , then | Mathematics | TestHub
Pair of Lines
6 questions · 1 subtopics
- Let and be non-zero and real numbers. Then... | Mathematics | TestHub
- If , then | Mathematics | TestHub
- The equation represents | Mathematics | TestHub
Parabola
193 questions · 9 subtopics
- A chord is drawn through the focus of the... | Mathematics | TestHub
- Consider the circle and the parabola . If... | Mathematics | TestHub
- Tangents are drawn from the points on the... | Mathematics | TestHub
Permutation & Combination
296 questions · 9 subtopics
- How many ways are there to arrange the let... | Mathematics | TestHub
- How many different words can be formed by... | Mathematics | TestHub
- Consider all possible permutations of the... | Mathematics | TestHub
Permutation Combination
7 questions · 3 subtopics
- A person invites a party of 10 friends at... | Mathematics | TestHub
- The number of ways of arranging letters of... | Mathematics | TestHub
- Number of words from the letters of the wo... | Mathematics | TestHub
Point
121 questions · 3 subtopics
- A 2 \times 3 rectangle has vertices at (0,... | Mathematics | TestHub
- Consider three points and , where . Then, | Mathematics | TestHub
- A straight line through the vertex of a in... | Mathematics | TestHub
Probability
387 questions · 9 subtopics
- A die is loaded such that the probability... | Mathematics | TestHub
- Let and be two independent events. The pro... | Mathematics | TestHub
- If and are mutually exclusive events and i... | Mathematics | TestHub
Properties of Triangle
24 questions · 6 subtopics
- In a \triangle A B C sides b, c \angle C a... | Mathematics | TestHub
- There exists a triangle ABC satisfying the... | Mathematics | TestHub
- In a triangle A B C with sides a, b and c,... | Mathematics | TestHub
Properties of Triangles
32 questions · 1 subtopics
- If and are the sides of a such that has re... | Mathematics | TestHub
- Inradius of a circle which is inscribed in... | Mathematics | TestHub
- Match the following. | Mathematics | TestHub
Quadratic Equation
328 questions · 9 subtopics
- Difference between the corresponding roots... | Mathematics | TestHub
- The quadratic equations and have one root... | Mathematics | TestHub
- is divisible by | Mathematics | TestHub
Sequence & Series
431 questions · 7 subtopics
- If , then the value of is : | Mathematics | TestHub
- The sum of the series \frac{x}{1-x^{2}}+\f... | Mathematics | TestHub
- The sum of integers from 1 to 100 that are... | Mathematics | TestHub
Sets and Relations
151 questions · 4 subtopics
- The relation and is even is: | Mathematics | TestHub
- Let and .If or , then is : | Mathematics | TestHub
- Let A be the set of all functions and R be... | Mathematics | TestHub
Statistics
176 questions · 8 subtopics
- In a class of 100 students there are 70 bo... | Mathematics | TestHub
- Let be observations such that and . Then a... | Mathematics | TestHub
- The average marks of boys in a class is an... | Mathematics | TestHub
Straight Lines
125 questions · 7 subtopics
- A line makes the same angle , with each of... | Mathematics | TestHub
- The two lines and are perpendicular to eac... | Mathematics | TestHub
- The line given by passes through the point... | Mathematics | TestHub
Straight line
4 questions · 1 subtopics
- The term of the sequence , is | Mathematics | TestHub
- The quadratic equation whose roots are the... | Mathematics | TestHub
- If the coordinates of the points and be an... | Mathematics | TestHub
Trigonometric Equation
138 questions · 2 subtopics
- The number of solution of in is | Mathematics | TestHub
- The number of values of in the interval sa... | Mathematics | TestHub
- If and , then is | Mathematics | TestHub
Trigonometric Ratios & Identities
100 questions · 7 subtopics
- If, and , then find the value of | Mathematics | TestHub
- If then is equal to | Mathematics | TestHub
- An object is obseved from the points and C... | Mathematics | TestHub
Vector
522 questions · 9 subtopics
- then | Mathematics | TestHub
- If are vectors such that and then angle be... | Mathematics | TestHub
- If and the angle between and is then is eq... | Mathematics | TestHub
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