Practicing with RD Sharma Solutions for Class 12 enables students to:
- Grasp key mathematical concepts and strengthen their problem-solving skills.
- Build a strong foundation for CBSE board exams as well as competitive exams like JEE.
- Improve their speed and accuracy in solving mathematical problems.
- Enhance their familiarity with various question types and exam patterns.
RD Sharma Notes for Class 12, such as those provided by Infinity Learn, further aid in exam preparation by summarizing important formulas, theorems, and concepts. Regular practice with these resources ensures students are well-prepared for both board and entrance exams.
Chapter-wise RD Sharma Class 12 Maths Solutions
|
Chapter No. |
Chapter Title |
|
1 |
Relations |
|
2 |
Functions |
|
3 |
Binary Operations |
|
4 |
Inverse Trigonometric Functions |
|
5 |
Algebra of Matrices |
|
6 |
Determinants |
|
7 |
Adjoint and Inverse of a Matrix |
|
8 |
Solution of Simultaneous Linear Equations |
|
9 |
Continuity |
|
10 |
Differentiability |
|
11 |
Differentiation |
|
12 |
Higher Order Derivatives |
|
13 |
Derivative as a Rate Measurer |
|
14 |
Differentials, Errors and Approximations |
|
15 |
Mean Value Theorems |
|
16 |
Tangents and Normals |
|
17 |
Increasing and Decreasing Functions |
|
18 |
Maxima and Minima |
|
19 |
Indefinite Integrals |
|
20 |
Definite Integrals |
|
21 |
Areas of Bounded Regions |
|
22 |
Differential Equations |
|
23 |
Algebra of Vectors |
|
24 |
Scalar or Dot Products |
|
25 |
Vector or Cross Product |
|
26 |
Scalar Triple Product |
|
27 |
Direction Cosines and Directions Ratios |
|
28 |
Straight Line in Space |
|
29 |
The Plane |
|
30 |
Linear Programming |
|
31 |
Probability |
|
32 |
Mean and Variance of a Random Variable |
|
33 |
Binomial Distribution |
RD Sharma Solutions for Class 12 – Chapterwise Overview
Chapter 1: Relations: The Chapter covers the fundamentals of relations, including types (reflexive, symmetric, transitive), inverse relations, equivalence relations, and key properties.
Chapter 2: Functions
Explores functions as correspondences and sets of ordered pairs, graphs, constant, identity, modulus, greatest/smallest integer, fractional part, signum, exponential, logarithmic, reciprocal, square, cube, and operations on real functions.
Chapter 3: Binary Operations
Focuses on binary operations, including commutativity, associativity, distributivity, identity elements, inverses, composition tables, and modular arithmetic.
Chapter 4: Inverse Trigonometric Functions
Examines definitions and properties of inverse trigonometric functions: sine, cosine, tangent, secant, cosecant, cotangent.
Chapter 5: Algebra of Matrices
Discusses matrix types, equality, addition, scalar multiplication, subtraction, matrix multiplication, powers, transpose, symmetric and skew-symmetric matrices.
Chapter 6: Determinants
Covers determinants for matrices of order 1–3, Sarrus rule, singular matrices, minors, cofactors, properties, evaluation, and applications in coordinate geometry and linear equations.
Chapter 7: Adjoint and Inverse of a Matrix
Explains adjoint and inverse of matrices, invertible matrices, elementary transformations, and related problems.
Chapter 8: Solutions of Simultaneous Linear Equations
Details consistent, homogeneous, and non-homogeneous systems, and matrix methods for solving them.
Chapter 9: Continuity
Covers continuity at a point, on intervals, algebra of continuous functions, and their properties.
Chapter 10: Differentiability
Focuses on differentiability at a point, in a set, and related results.
Chapter 11: Differentiation
Includes differentiation by first principles, chain rule, trigonometric substitutions, implicit and logarithmic differentiation, parametric functions, and more.
Chapter 12: Higher Order Derivatives
Covers proving relations involving higher order derivatives for Cartesian and parametric functions.
Chapter 13: Derivative as a Rate Measurer
Introduces derivatives as rates of change and related rates problems.
Chapter 14: Differentials, Errors, and Approximations Discusses differentials, absolute/relative/percentage errors, geometrical meaning, and approximations.
Chapter 15: Mean Value Theorems Explores Rolle’s theorem, Lagrange’s mean value theorem, applications, and proofs of inequalities.
Chapter 16: Tangents and Normals Covers slopes, equations, and properties of tangents and normals, angle of intersection, and orthogonal curves.
Chapter 17: Increasing and Decreasing Functions Explains increasing/decreasing functions, monotonicity, and related algorithms.
Chapter 18: Maxima and Minima Focuses on maxima/minima, local maxima/minima, first and higher order derivative tests, inflection points, and applications.
Chapter 19: Indefinite Integrals Covers primitives, antiderivatives, integration formulas, methods (substitution, parts, partial fractions), and special functions.
Exercises: 19.1–19.32
Chapter 20: Definite Integrals Explains definite integrals as limits, properties, fundamental theorem, and applications.
Chapter 21: Areas of Bounded Regions Teaches how to sketch and calculate areas of curves and regions.
Chapter 22: Differential Equations Covers solving differential equations, properties, and applications.
Chapter 23: Algebra of Vectors Explores vector algebra in 2D and 3D, vector operations, and applications.
Exercises: 23.1–23.9
Chapter 24: Scalar or Dot Product Focuses on scalar products of vectors and their properties.
Chapter 25: Vector or Cross Product Covers vector products, their properties, and geometrical applications.
Chapter 26: Scalar Triple Product Explains scalar triple product and its properties.
Chapter 27: Direction Cosines and Direction Ratios Discusses direction ratios and cosines for lines in 3D space.
Chapter 28: Straight Line in Space Covers all concepts related to lines in 3D, including equations and properties.
Chapter 29: The Plane Explores planes in 3D space, including slopes, x- and y-intercepts, and related problems.
Chapter 30: Linear Programming Introduces linear equations, constraints, and optimization (maxima and minima) problems.
Chapter 31: Probability Covers advanced probability concepts and methods for organized events.
Chapter 32: Mean and Variance of a Random Variable Explains Bayes theorem, mean, and variance of random variables.
Chapter 33: Binomial Distribution Focuses on binomial distribution, Bernoulli trials, and related problems.
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- Provides an algorithmic and conceptual approach to solving problems.
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