Class 12 Mathematics: Non-Rationalised NCERT Solutions

Complete Chapter-Wise Solutions (Full Syllabus)

• Chapter 1: Relations and Functions

  Types of relations, composition of functions, invertible functions, and binary operations.

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• Chapter 2: Inverse Trigonometric Functions

  Principal value branches, graphs, and the full range of properties of inverse trig functions.

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• Chapter 3: Matrices

  Matrix operations, symmetric matrices, and elementary row/column transformations.

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• Chapter 4: Determinants

  Comprehensive properties of determinants, minors, cofactors, and solving linear systems.

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• Chapter 5: Continuity and Differentiability

  Exponential/logarithmic functions and traditional Mean Value Theorems (Rolle’s and Lagrange’s).

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• Chapter 6: Application of Derivatives

  Rate of change, Maxima/Minima, and traditional Tangents, Normals, and Approximations.

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• Chapter 7: Integrals

  Definite and Indefinite integrals, including the traditional "Limit of a Sum" method.

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• Chapter 8: Application of Integrals

  Calculating area under simple curves and the area bounded between two complex curves.

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• Chapter 9: Differential Equations

  Formation of differential equations, variable separable, and linear differential equations.

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• Chapter 10: Vector Algebra

  Direction cosines, dot/cross products, and the traditional scalar triple product.

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• Chapter 11: Three Dimensional Geometry

  Equations of lines and planes, and the distance between points, lines, and planes.

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• Chapter 12: Linear Programming

  Optimization, feasible regions, and various types of LPP word problems.

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• Chapter 13: Probability

  Bayes' theorem, and the traditional Bernoulli trials and Binomial distribution.

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