NCERT 12 Maths 

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i think this is very useful to you. kindly use it. The Kalaimagal Academy is a concise mathematics reference document covering key concepts across nine core chapters:

Key Topics Covered

• Relations and Functions: Types of relations (reflexive, symmetric, transitive, equivalence) and function classifications (one-one, onto, bijective).

• Inverse Trigonometric Functions: Domains, ranges, principal value branches, and fundamental identities.

• Matrices & Determinants: Matrix types, properties of transposes, matrix inversion, determinants, area of triangles, and solving linear systems ($AX = B$).

• Calculus:

• Continuity & Differentiability: Standard derivatives for trigonometric, exponential, and logarithmic functions.

• Integral Calculus: Fundamental integration formulas, integration by parts, and the Second Fundamental Theorem.

• Differential Equations: Definitions of order and degree, along with first-order linear differential equations.

Vector Algebra & 3D Geometry: Position vectors, scalar and vector products, vector equations of lines, and the shortest distance between skew lines. Probability: Conditional probability, independent events, Total Probability Theorem, and Bayes' Theorem. 

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