Class 12 Mathematics: Latest NCERT Solutions

Chapter-Wise Solutions (Latest NCERT Syllabus)

• Chapter 1: Relations and Functions

  Equivalence relations, reflexive, symmetric, transitive properties, and one-to-one/onto functions.

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• Chapter 2: Inverse Trigonometric Functions

  Mastering principal value branches, domain, range, and properties of inverse functions.

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• Chapter 3: Matrices

  Operations on matrices, types of matrices, transpose, and elementary transformations.

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• Chapter 4: Determinants

  Properties of determinants, area of triangles, adjoint, and finding inverse matrices.

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• Chapter 5: Continuity and Differentiability

  Continuity, differentiability, chain rule, implicit functions, and logarithmic differentiation.

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• Chapter 6: Application of Derivatives

  Rate of change, increasing/decreasing functions, and finding local maxima/minima.

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• Chapter 7: Integrals

  Methods of integration: substitution, partial fractions, and integration by parts.

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• Chapter 8: Application of Integrals

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

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• Chapter 9: Differential Equations

  Order and degree, general and particular solutions, and separable variable methods.

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• Chapter 10: Vector Algebra

  Magnitude, direction, dot product, cross product, and projection of vectors.

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• Chapter 11: Three Dimensional Geometry

  Direction cosines, equations of lines in space, and angle between two lines.

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• Chapter 12: Linear Programming

  Graphical method for solving LPP, feasible regions, and optimization of objective functions.

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• Chapter 13: Probability

  Conditional probability, Bayes' theorem, and independent events.

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