Mathematics Questions
9,511 questions across 47 topics — with step-by-step solutions.
14 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
18 questions · 6 subtopics
- A plane passes through (1,0,0) and (0,1,0)... | Mathematics | TestHub
- Angle \theta is made by line of intersecti... | Mathematics | TestHub
- The direction cosines of two lines are con... | Mathematics | TestHub
3D-Coordinate Geometry
148 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
474 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
242 questions · 4 subtopics
- Let f(x) = x^2 - 4x + 3 . Consider the reg... | Mathematics | TestHub
- The area bounded by the curves and is | Mathematics | TestHub
- The area of the region between the curves... | 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
315 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
289 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
370 questions · 10 subtopics
- If \frac{z_{1}}{z_{2}} is purely imaginary... | Mathematics | TestHub
- Match the expressions in List-I with their... | Mathematics | TestHub
- If the cube roots of unity are then the ro... | Mathematics | TestHub
Continuity - Differentiability
280 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
532 questions · 11 subtopics
- The value of | Mathematics | TestHub
- Practice Question | Mathematics | TestHub
- Let be a continuous function such that for... | Mathematics | TestHub
Determinant
275 questions · 8 subtopics
- The area of the triangle \mathrm{P}_{1} \m... | Mathematics | TestHub
- In , , , and the determinant Find its area. | Mathematics | TestHub
- The product \lambda_{1} \cdot \lambda_{2}... | Mathematics | TestHub
Differential Equation
342 questions · 7 subtopics
- A curve y=f(x) passes through the point (1... | Mathematics | TestHub
- and are two differentiable functions on su... | Mathematics | TestHub
- Let I be the purchase value of an equipmen... | Mathematics | TestHub
Differentiation
107 questions · 9 subtopics
- The derivative ofwith respect towhere, is | Mathematics | TestHub
- The derivative ofwith respect toatis : | Mathematics | TestHub
- is equal to | Mathematics | TestHub
Ellipse
183 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
671 questions · 11 subtopics
- Let f: \mathbb{R} \to \mathbb{R} be define... | Mathematics | TestHub
- Let f(x) = \begin{cases} x+2 & \text{if }... | Mathematics | TestHub
- Let and . Then the number of onto function... | 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
119 questions · 8 subtopics
- Acute angle between the asymptotes of the... | Mathematics | TestHub
- The asymptotes of a hyperbola are parallel... | Mathematics | TestHub
- The equation of Asymptotes of x y+2 x+4 y+... | Mathematics | TestHub
Indefinite Integration
197 questions · 7 subtopics
- The integral \int \frac{x^2 e^x}{(x+2)^2}... | Mathematics | TestHub
- Evaluate \int \frac{\ln x}{(x+1)^2} dx . | Mathematics | TestHub
- If . Then the ordered triplet is - | 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
174 questions · 7 subtopics
- , then | Mathematics | TestHub
- If , then is equal to | Mathematics | TestHub
- If then a value of is | Mathematics | TestHub
Limits
359 questions · 9 subtopics
- The value of \lim_{x \to 0} \left(\frac{\s... | Mathematics | TestHub
- If and , then the value of is | Mathematics | TestHub
- is 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
297 questions · 9 subtopics
- Let A be a 3 \times 3 matrix with real ent... | Mathematics | TestHub
- Let A=\left[a_{i j}\right]_{3 \times 3} be... | Mathematics | TestHub
- Matrix A has Row 1: 1, 0, 1; Row 2: 0, 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
390 questions · 10 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
578 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
494 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
102 questions · 7 subtopics
- In a triangle ABC, if a=2\sqrt{3} , b=6 an... | Mathematics | TestHub
- In a \triangle ABC , if a=6 , b=8 and \ang... | Mathematics | TestHub
- For a triangle with given sides a, b and a... | 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
507 questions · 9 subtopics
- If the equations x^2 + ax + b = 0 and x^2... | Mathematics | TestHub
- If the equations x^2 + 2x + a = 0 and x^2... | Mathematics | TestHub
- If the quadratic equations x^2 + 2x + k =... | Mathematics | TestHub
Sequence & Series
449 questions · 7 subtopics
- Match the following series sums.List - ILi... | Mathematics | TestHub
- The sum of the infinite series 1 + \frac{4... | Mathematics | TestHub
- If , then the value of is : | 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
138 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
155 questions · 2 subtopics
- The number of solutions of the equation 4\... | Mathematics | TestHub
- The number of solutions of the equation \l... | Mathematics | TestHub
- Match the following quantities related to... | Mathematics | TestHub
Trigonometric Ratios & Identities
116 questions · 7 subtopics
- Let A = \sin^4 x + \cos^4 x and B = \sin^8... | Mathematics | TestHub
- Let x be an angle such that \tan x , \tan(... | Mathematics | TestHub
- If, and , then find the value of | Mathematics | TestHub
Vector
580 questions · 29 subtopics
- If lines \mathrm{bx}=1-\mathrm{cy}, \mathr... | Mathematics | TestHub
- The direction ratios of a normal to the pl... | Mathematics | TestHub
- Let the two lines whose equations are \mat... | Mathematics | TestHub
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