Class 12 Mathematics MCQs

Relations and Functions

Relations and Functions MCQs

Relations and Functions — MCQs 1. An equivalence relation must be: A. reflexive only B. symmetric only C. reflexive, symmetric and transitive D. transitive only Answer: C 2. A fun…

Inverse Trigonometric Functions

Inverse Trigonometric Functions MCQs

Inverse Trigonometric Functions — MCQs 1. The principal value of is: A. B. C. D. Answer: A 2. A. B. C. 0 D. Answer: B 3. The range of is: A. B. C. D. Answer: B

Matrices

Matrices MCQs

Matrices — MCQs 1. A matrix with is: A. skew symmetric B. symmetric C. identity D. zero Answer: B 2. The product is defined when: A. rows of equal rows of B. columns of equal rows…

Determinants

Determinants MCQs

Determinants — MCQs 1. A. B. C. D. Answer: B 2. A matrix is invertible when its determinant is: A. zero B. non zero C. negative D. one Answer: B 3. The cofactor equals: A. B. C. D…

Continuity and Differentiability

Continuity and Differentiability MCQs

Continuity and Differentiability — MCQs 1. is continuous at if: A. exists only B. C. exists D. Answer: B 2. The chain rule gives A. B. C. D. Answer: B 3. Differentiability at a po…

Application of Derivatives

Application of Derivatives MCQs

Application of Derivatives — MCQs 1. A function is increasing where: A. B. C. D. Answer: A 2. By the second derivative test, a local minimum occurs where: A. B. C. D. Answer: B 3.…

Integrals

Integrals MCQs

Integrals — MCQs 1. ( ) A. B. C. D. Answer: B 2. A. B. C. D. Answer: A 3. Integration by parts states A. B. C. D. Answer: B

Application of Integrals

Application of Integrals MCQs

Application of Integrals — MCQs 1. The area under from to is: A. B. C. D. Answer: B 2. The area between and (with ) is: A. B. C. D. Answer: A 3. Areas of regions are taken as: A.…

Differential Equations

Differential Equations MCQs

Differential Equations — MCQs 1. The order of a differential equation is the: A. lowest derivative present B. highest derivative present C. degree of the equation D. number of ter…

Vector Algebra

Vector Algebra MCQs

Vector Algebra — MCQs 1. The dot product A. B. C. D. Answer: B 2. Two non zero vectors are perpendicular when their dot product is: A. 1 B. 0 C. negative D. maximum Answer: B 3. T…

Three Dimensional Geometry

Three Dimensional Geometry MCQs

Three Dimensional Geometry — MCQs 1. The direction cosines of a line satisfy: A. B. C. D. Answer: B 2. The vector equation of a line is: A. B. C. D. Answer: A 3. The normal to the…

Probability

Probability MCQs

Probability — MCQs 1. The conditional probability A. B. C. D. Answer: A 2. Events and are independent if: A. B. C. D. Answer: B 3. Bayes' theorem is used to: A. add probabilities…