CBSE Class 12 Maths Textbook PDF – NCERT 2026-27

Class 12 Maths Textbook CBSE NCERT – Free PDF Download 2026-27

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Download Class 12 Maths Textbook PDF Free – 2026-27 Edition

Mathematics Part-I – Chapter-wise PDF Download for CBSE Students

Mathematics Part-II – Chapter-wise PDF Download for CBSE Students

Ganit-I – Chapter-wise PDF Download for CBSE Students

Ganit-II – Chapter-wise PDF Download for CBSE Students

Riyazi-I – Chapter-wise PDF Download for CBSE Students

Riyazi-II – Chapter-wise PDF Download for CBSE Students

About Class 12 Maths Textbook

Class 12 maths textbook from NCERT provides comprehensive coverage of advanced mathematical concepts essential for CBSE board examinations. This latest edition 2026-27 includes twelve crucial chapters: Relations and Functions, Inverse Trigonometric Functions, Matrices, Determinants, Continuity and Differentiability, Application of Derivatives, Integrals, Application of Integrals, Differential Equations, Vector Algebra, Three Dimensional Geometry, and Linear Programming. Each chapter builds upon previous knowledge while introducing complex topics through systematic explanations and solved examples.

The NCERT class 12 mathematics textbook emphasizes conceptual understanding over rote memorization. Students benefit from step-by-step problem-solving approaches and varied exercise sets ranging from basic to challenging levels. The free PDF format allows instant access for revision and practice sessions. CBSE class 12 students should focus on understanding fundamental theorems and their applications rather than memorizing formulas. Regular practice from this textbook’s extensive problem sets strengthens analytical thinking skills. The book’s structured approach helps students tackle competitive examinations like JEE and other entrance tests effectively.

Related Resources

• NCERT Class 12 Mathematics Book Mathematics Part-I
• NCERT Class 12 Mathematics Books [Download ZIP, PDF]
• NCERT Solutions for Class 12 – All Subjects
• Class 12 Physics NCERT Solutions – Chapter-wise PDF…
• NCERT Solutions for Class 12 English Flamingo Chapter…

Important Points to Remember – Class 12 Maths

• Relations are defined as arbitrary subsets of A × B, where (a,b) ∈ R means ‘a is related to b under relation R’
• Functions are special types of relations where each element in domain has exactly one image in codomain
• Inverse trigonometric functions exist only when trigonometric functions are restricted to specific domains to make them one-one and onto
• The principal value branch of sin^(-1)x has domain [-1,1] and range [-π/2, π/2]
• Matrices are rectangular arrays of numbers arranged in rows and columns, denoted by capital letters like A, B, C
• A matrix of order m × n has m rows and n columns, containing mn elements in total
• Matrix addition is possible only when matrices have the same order (same number of rows and columns)
• For matrix multiplication AB, the number of columns in A must equal the number of rows in B
• Determinant exists only for square matrices and is a unique number associated with each square matrix
• For a 2×2 matrix A = [a b; c d], determinant = ad – bc
• Determinant of 3×3 matrix can be calculated using expansion along any row or column
• A square matrix is invertible (non-singular) if and only if its determinant is non-zero
• Cramer’s rule uses determinants to solve system of linear equations when determinant of coefficient matrix ≠ 0
• The CBSE Class 12 Mathematics curriculum for 2025-26 emphasizes application-based problems in these topics
• Board exam weightage: Relations & Functions (10 marks), Inverse Trigonometry (4 marks), Matrices (8 marks), Determinants (8 marks)

Quick Revision Notes – Class 12 Maths

• Remember RISO rule for relations: Reflexive (aRa), Irreflexive, Symmetric (aRb ⟹ bRa), Transitive (aRb, bRc ⟹ aRc)
• For inverse functions to exist: function must be bijective (both one-one and onto)
• Quick check for one-one function: horizontal line test – any horizontal line should intersect graph at most once
• Inverse trigonometric function domains: sin^(-1), cos^(-1) have domain [-1,1]; tan^(-1), cot^(-1) have domain R
• Matrix multiplication is NOT commutative: AB ≠ BA in general, but is associative: (AB)C = A(BC)
• Identity matrix I has 1’s on main diagonal and 0’s elsewhere; AI = IA = A for any compatible matrix A
• Transpose properties: (A + B)’ = A’ + B’, (AB)’ = B’A’, (A’)’ = A
• Zero matrix has all elements as 0; it’s additive identity for matrices of same order
• Determinant properties: det(AB) = det(A) × det(B), det(A’) = det(A), det(kA) = k^n × det(A) for n×n matrix
• Cofactor C_ij = (-1)^(i+j) × M_ij, where M_ij is the minor obtained by deleting i-th row and j-th column
• Adjoint of matrix A is transpose of cofactor matrix: adj(A) = [C_ij]’
• For finding A^(-1): A^(-1) = (1/det(A)) × adj(A), valid only when det(A) ≠ 0
• Sarrus rule for 3×3 determinants: write first two columns again and use diagonal multiplication method
• System of equations AX = B has unique solution X = A^(-1)B when det(A) ≠ 0
• Practice numerical problems daily as CBSE emphasizes computational skills in board examinations

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