Mathematics Questions
6,201 questions across 44 topics — with step-by-step solutions.
2 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
2 questions · 2 subtopics
- Angle \theta is made by line of intersecti... | Mathematics | TestHub
- Find the distance of the point \hat{i}+2 \... | Mathematics | TestHub
3D-Coordinate Geometry
99 questions · 4 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
289 questions · 8 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
185 questions · 3 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
Area under the curve
18 questions · 1 subtopics
- The area of the region bounded by the curv... | Mathematics | TestHub
- If the area of the region is A , then 3 A... | Mathematics | TestHub
- Consider the region .The area, of the larg... | Mathematics | TestHub
Basic maths
18 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
263 questions · 10 subtopics
- If the expansion in powers of of the funct... | Mathematics | TestHub
- The coefficient ofin the expansion ofis | Mathematics | TestHub
- Ifis very small as compared to the value o... | Mathematics | TestHub
Calculus Mixed
2 questions · 1 subtopics
- Let \mathrm{f}(\mathrm{n}, \mathrm{K}) be... | Mathematics | TestHub
- Match the following List-I with List-IILis... | Mathematics | TestHub
Circle
215 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
273 questions · 9 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
171 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
391 questions · 10 subtopics
- The value of | Mathematics | TestHub
- Let be a continuous function such that for... | Mathematics | TestHub
- The integral is equal to : | Mathematics | TestHub
Determinant
223 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
282 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
77 questions · 8 subtopics
- The derivative ofwith respect towhere, is | Mathematics | TestHub
- The derivative ofwith respect toatis : | Mathematics | TestHub
- Letandbe differentiable functions onsuch t... | Mathematics | TestHub
Ellipse
117 questions · 11 subtopics
- The line passing through the extremity of... | Mathematics | TestHub
- Consider the ellipse . Let , be a point. A... | Mathematics | TestHub
- Let the ellipseintersect the positive- and... | Mathematics | TestHub
Functions
275 questions · 11 subtopics
- LetandIfthenis equal to: | Mathematics | TestHub
- Forletandbe three given functions. If a fu... | Mathematics | TestHub
- Forletand. Ifthenis equal to: | Mathematics | TestHub
Hyperbola
79 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
113 questions · 7 subtopics
- Let be an indefinite integral of . Stateme... | Mathematics | TestHub
- If, then, is equal to | Mathematics | TestHub
- If, whereis a constant of integration, the... | Mathematics | TestHub
Inverse Trigonometric Function
101 questions · 5 subtopics
- , then | Mathematics | TestHub
- If , then is equal to | Mathematics | TestHub
- If then a value of is | Mathematics | TestHub
Inverse Trigonometric Functions
40 questions · 2 subtopics
- The value of is | Mathematics | TestHub
- Match the following. List – I List – II(A)... | Mathematics | TestHub
- If,, wherethenis equal to | Mathematics | TestHub
Limits
209 questions · 9 subtopics
- If and , then the value of is | Mathematics | TestHub
- Let, thenis equal to | Mathematics | TestHub
- If, thenis equal to | Mathematics | TestHub
Mathematical Reasoning
8 questions · 1 subtopics
- \quad((\mathrm{p} \rightarrow \mathrm{q})... | Mathematics | TestHub
- If p, q, r are three propositions then the... | Mathematics | TestHub
- Which of the following is a contradiction? | Mathematics | TestHub
Matrices
106 questions · 2 subtopics
- If and , then | Mathematics | TestHub
- Paragraph:Read the following passage and a... | Mathematics | TestHub
- Paragraph:Read the following passage and a... | Mathematics | TestHub
Matrix
150 questions · 6 subtopics
- Let A be a matrix Statement-1 Statement-2 : | Mathematics | TestHub
- If the adjoint of a matrix is , then the p... | Mathematics | TestHub
- Ifis the adjoint of amatrixand, thenis equ... | Mathematics | TestHub
Pair of Lines
2 questions · 1 subtopics
- Let and be non-zero and real numbers. Then... | Mathematics | TestHub
- Let denote the locus of the point of inter... | Mathematics | TestHub
Parabola
148 questions · 8 subtopics
- A chord is drawn through the focus of the... | Mathematics | TestHub
- Consider the circle and the parabola . If... | Mathematics | TestHub
- If a chord, which is not a tangent, of the... | Mathematics | TestHub
Permutation & Combination
169 questions · 5 subtopics
- Total number of ways in which 256 identica... | Mathematics | TestHub
- If \left\lfloor 15=2^{\mathrm{p}_{1}} 3^{\... | Mathematics | TestHub
- From a group of 7 batsmen and 6 bowlers, 1... | Mathematics | TestHub
Permutation Combination
69 questions · 4 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
Point
114 questions · 2 subtopics
- Consider three points and , where . Then, | Mathematics | TestHub
- A straight line through the vertex of a in... | Mathematics | TestHub
- Paragraph:Tangents are drawn from the poin... | Mathematics | TestHub
Probability
270 questions · 8 subtopics
- Let and be two independent events. The pro... | Mathematics | TestHub
- Four persons independently solve a certain... | Mathematics | TestHub
- Two newspapersandare published in a city.... | Mathematics | TestHub
Properties of Triangles
25 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
232 questions · 9 subtopics
- Difference between the corresponding roots... | Mathematics | TestHub
- The quadratic equations and have one root... | Mathematics | TestHub
- The value of for which the equations have... | Mathematics | TestHub
SET AND RELATION
14 questions · 1 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
Sequence & Series
351 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
117 questions · 3 subtopics
- Let be a relation on the set . The relatio... | Mathematics | TestHub
- Let be a relation on the set . The relatio... | Mathematics | TestHub
- Let W denote the words in the English dict... | Mathematics | TestHub
Statistics
156 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
30 questions · 3 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
80 questions · 4 subtopics
- In a triangle A B C , if A \equiv(1,2) and... | Mathematics | TestHub
- The equation of the straight line passing... | Mathematics | TestHub
- A straight line through the point A(3, 4)... | Mathematics | TestHub
Trigonometric Equation
116 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
67 questions · 5 subtopics
- Letwhereand. Thenequals | Mathematics | TestHub
- Ifandare the minimum and the maximum value... | Mathematics | TestHub
- The number offor whichis: | Mathematics | TestHub
Vector
459 questions · 8 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
Vectors
74 questions · 5 subtopics
- Let and be three vectors such that is copl... | Mathematics | TestHub
- Let and be the vectors of the same magnitu... | Mathematics | TestHub
- Consider two vectors and . The angle betwe... | Mathematics | TestHub
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