Mathematics Questions and Answers – Class 12

Mathematics Class 12 Questions and Answers

Our 1000+ “Mathematics – Class 12” (along with 1000+ “Mathematics – Class 11”) questions and answers focuses on all areas of Mathematics subject covering 200+ topics in Mathematics. One can read Class 11 Here. These topics are chosen from a collection of most authoritative and best reference books on Mathematics. One should spend 1 hour daily for 2-3 months to learn and assimilate Mathematics comprehensively. This way of systematic learning will prepare anyone easily towards Mathematics interviews, online tests, examinations and certifications.


– 1000+ Multiple Choice Questions & Answers in Mathematics with explanations
– Every MCQ set focuses on a specific topic in Mathematics Subject


Who should Practice these Mathematics Questions?
– Anyone wishing to sharpen their knowledge of Class 12 – Mathematics Subject
– Anyone preparing for school test and many other online/Offline Tests/Contests in Mathematics
– Anyone preparing for NEET, IIT JEE, AIIMS & SAT Exams in Mathematics
– Anyone preparing for various Central board examinations in Mathematics namely CBSE, ICSE, IGCSE, and NIOS Board
– Anyone preparing for various State board examinations in Mathematics such as PUC, Intermediate exams, etc
– Anyone preparing for entrance examinations and other competitive examinations such as NTSE, Olympiad, etc
– All – High School Students and Freshers

Here’s list of Questions & Answers on Mathematics Subject – Class 12 covering 100+ topics:

1. Questions & Answers on Relations and Functions

The section contains questions and answers on relations and functions types, binary operations, functions and invertible function composition.

Types of Relations
Types of Functions
Composition of Functions and Invertible Function
Binary Operations

2. Questions on Inverse Trigonometric Functions

The section contains questions on inverse trigonometry, inverse trigonometric functions basics and its properties.

Inverse Trigonometry
Inverse Trigonometric Functions Basics
Properties of Inverse Trigonometric Functions

3. Questions & Answers on Matrices


The section contains questions and answers on matrices, matrices types and operations, matrix transpose, invertible matrices, matrix transformation, symmetric and skew symmetric matrices.

Types of Matrices
Operations on Matrices
Transpose of a Matrix
Symmetric and Skew Symmetric Matrices
Elementary Operation (Transformation) of a Matrix
Invertible Matrices

4. Questions on Determinants

The section contains questions on determinant, determinants properties and applications, triangle area, minors and cofactors, adjoint and inverse of matrix, determinants and matrices applications.

Determinant – 1
Determinant – 2
Determinant – 3
Properties of Determinants
Application of Determinants – 1
Application of Determinants – 2
Area of a Triangle
Minors and Cofactors
Adjoint and Inverse of a Matrix
Applications of Determinants and Matrices

5. Questions & Answers on Continuity and Differentiability

The section contains questions and answers on continuity, differentiability, exponential and logarithmic functions, logarithmic differentiation, functions derivatives in parametric forms, second order derivatives and mean value theorem.

Exponential and Logarithmic Functions
Logarithmic Differentiation
Derivatives of Functions in Parametric Forms
Second Order Derivatives
Mean Value Theorem

6. Questions on Application of Derivatives

The section contains questions on derivative application, quantities rate change, derivative applications for error determination, increasing and decreasing functions, tangents, normals, approximations, maxima and minima.

Application of Derivative
Application of Derivative for Error Determination
Rate of Change of Quantities
Increasing and Decreasing Functions
Tangents and Normals
Maxima and Minima

7. Questions & Answers on Integrals

The section contains questions and answers on inverse process differentiation, integration methods, particular functions integrals, integration by partial functions and parts, definite integral, calculus fundamental theorem, definite integrals properties and evaluation.

Integration as an Inverse Process of Differentiation
Methods of Integration-1
Methods of Integration-2
Integrals of Some Particular Functions
Integration by Partial Fractions
Integration by Parts
Definite Integral
Fundamental Theorem of Calculus-1
Fundamental Theorem of Calculus-2
Evaluation of Definite Integrals by Substitution
Properties of Definite Integrals

8. Questions on Application of Integrals


The section contains questions on simple curves area and area between two curves.

Area under Simple Curves Area between Two Curves

9. Questions & Answers on Differential Equations

The section contains questions and answers on differential equations basics, general and particular solutions, first order and first degree differential equations methods, differential equation formation, linear first and second order differential equations.

Differential Equations Basics-1
Differential Equations Basics-2
General and Particular Solutions of Differential Equation
Methods of Solving First Order & First Degree Differential Equations
Linear First Order Differential Equations – 1
Linear First Order Differential Equations – 2
Linear Second Order Differential Equations
Formation of a Differential Equation

10. Questions on Vector Algebra

The section contains questions on vector algebra basics, vectors types, vectors addition, vector multiplication by scalar and two vectors product.

Vector Algebra Basics
Types of Vectors
Addition of Vectors
Multiplication of a Vector by a Scalar
Product of Two Vectors-1
Product of Two Vectors-2

11. Questions & Answers on Three Dimensional Geometry

The section contains questions and answers on direction cosines and line ratios, line equation in space, angle and shortest distance b/w two lines, plane, angle b/w two planes, two lines coplanarity, point distance from plane, angle b/w line and plane.

Direction Cosines and Direction Ratios of a Line
Equation of a Line in Space
Angle between Two Lines
Shortest Distance between Two Lines
Angle between Two Planes – 1
Angle between Two Planes – 2
Angle between a Line and a Plane
Coplanarity of Two Lines
Distance of a Point from a Plane

12. Questions on Linear Programming

The section contains questions on different types of linear programming problems, linear programming problem and its mathematical formulation.

Linear Programming Problem and its Mathematical Formulation Different Types of Linear Programming Problems

13. Questions & Answers on Probability


The section contains questions and answers on conditional probability, independent events, probability multiplication theorem, bayes theorem, random variables and its probability distributions, bernoulli trials and binomial distribution.

Conditional Probability
Multiplication Theorem on Probability
Independent Events
Bayes Theorem
Random Variables and its Probability Distributions
Bernoulli Trials and Binomial Distribution

14. Questions on Application of Calculus

The sections covers questions on calculus applications like increasing and decreasing functions, tangents and normals, straight line motion, motion under gravity, calculus applications like maxima and minima, acceleration and velocity.

Increasing and Decreasing Functions
Tangents and Normals – 1
Tangents and Normals – 2
Motion in a Straight Line – 1
Motion in a Straight Line – 2
Motion Under Gravity
Maxima and Minima – 1
Maxima and Minima – 2
Velocity – 1
Velocity – 2
If you would like to learn Mathematics thoroughly, you should attempt to work on the complete set of questions and answers mentioned above. It will immensely help anyone trying to crack an exam or an interview.

Wish you the best in your endeavor to learn and master Mathematics!

Manish Bhojasia, a technology veteran with 20+ years @ Cisco & Wipro, is Founder and CTO at Sanfoundry. He is Linux Kernel Developer & SAN Architect and is passionate about competency developments in these areas. He lives in Bangalore and delivers focused training sessions to IT professionals in Linux Kernel, Linux Debugging, Linux Device Drivers, Linux Networking, Linux Storage, Advanced C Programming, SAN Storage Technologies, SCSI Internals & Storage Protocols such as iSCSI & Fiber Channel. Stay connected with him @ LinkedIn