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Mathematics — Grade 12, Part I
NCERT
Contents
6 chaptersCh. 1RELATIONS AND FUNCTIONS11 sections
- Chapter 1: Relations and Functions37 words
- 1.1 Introduction519 words
- 1.2 Types of Relations1,018 words
- EXERCISE 1.1619 words
- 1.3 Types of Functions1,211 words
- EXERCISE 1.2576 words
- 1.4 Composition of Functions and Invertible Function1,230 words
- Miscellaneous Examples584 words
- *Miscellaneous Exercise on Chapter 1*527 words
- Summary216 words
- *Historical Note*240 words
Ch. 2INVERSE TRIGONOMETRIC FUNCTIONS10 sections
- Chapter 2: Inverse Trigonometric Functions44 words
- 2.1 Introduction291 words
- 2.2 Basic Concepts1,344 words
- EXERCISE 2.1168 words
- 2.3 Properties of Inverse Trigonometric Functions801 words
- EXERCISE 2.2552 words
- Miscellaneous Examples349 words
- Miscellaneous Exercise on Chapter 2393 words
- Summary291 words
- *Historical Note*281 words
Ch. 3MATRICES34 sections
- Chapter 3: Matrices29 words
- 3.1 Introduction278 words
- 3.2 Matrix415 words
- 3.2.1 Order of a matrix638 words
- 3.3 Types of Matrices158 words
- (i) Column matrix43 words
- (ii) Row matrix48 words
- (iii) Square matrix120 words
- (iv) Diagonal matrix74 words
- (v) Scalar matrix57 words
- (vi) Identity matrix124 words
- (vii) Zero matrix195 words
- 3.3.1 Equality of matrices418 words
- EXERCISE 3.1262 words
- 3.4 Operations on Matrices92 words
- 3.4.1 Addition of matrices449 words
- 3.4.2 Multiplication of a matrix by a scalar399 words
- 3.4.3 Properties of matrix addition308 words
- 3.4.4 Properties of scalar multiplication of a matrix594 words
- 3.4.5 Multiplication of matrices1,145 words
- Non-commutativity of multiplication of matrices419 words
- Zero matrix as the product of two non zero matrices138 words
- 3.4.6 Properties of multiplication of matrices468 words
- EXERCISE 3.2455 words
- 3.5. Transpose of a Matrix219 words
- 3.5.1 Properties of transpose of the matrices228 words
- 3.6 Symmetric and Skew Symmetric Matrices475 words
- EXERCISE 3.3421 words
- 3.7 Invertible Matrices514 words
- EXERCISE 3.4210 words
- Miscellaneous Examples426 words
- *Miscellaneous Exercise on Chapter 3*358 words
- Summary240 words
- NOTES37 words
Ch. 4DETERMINANTS22 sections
- Figure from DETERMINANTS40 words
- 4.1 Introduction308 words
- 4.2 Determinant102 words
- 4.2.1 Determinant of a matrix of order one50 words
- 4.2.2 Determinant of a matrix of order two197 words
- 4.2.3 Determinant of a matrix of order $3 \times 3$209 words
- Expansion along first Row ($R_1$)314 words
- EXERCISE 4.1264 words
- 4.3 Area of a Triangle363 words
- EXERCISE 4.2235 words
- 4.4 Minors and Cofactors328 words
- EXERCISE 4.3217 words
- 4.5 Adjoint and Inverse of a Matrix43 words
- 4.5.1 Adjoint of a matrix685 words
- EXERCISE 4.4277 words
- 4.6 Applications of Determinants and Matrices33 words
- 4.6.1 Solution of system of linear equations using inverse of a matrix498 words
- EXERCISE 4.5270 words
- Miscellaneous Examples211 words
- Miscellaneous Exercises on Chapter 4265 words
- Summary277 words
- *Historical Note*222 words
Ch. 5CONTINUITY AND DIFFERENTIABILITY22 sections
- Chapter 5: Continuity and Differentiability42 words
- 5.1 Introduction246 words
- 5.2 Continuity871 words
- 5.2.1 Algebra of continuous functions412 words
- EXERCISE 5.1379 words
- 5.3. Differentiability635 words
- 5.3.1 Derivatives of composite functions354 words
- EXERCISE 5.2137 words
- 5.3.2 Derivatives of implicit functions404 words
- 5.3.3 Derivatives of inverse trigonometric functions359 words
- EXERCISE 5.3164 words
- 5.4 Exponential and Logarithmic Functions449 words
- EXERCISE 5.4107 words
- 5.5. Logarithmic Differentiation393 words
- EXERCISE 5.5205 words
- 5.6 Derivatives of Functions in Parametric Forms456 words
- EXERCISE 5.6118 words
- 5.7 Second Order Derivative422 words
- EXERCISE 5.7123 words
- Miscellaneous Examples315 words
- Miscellaneous Exercise on Chapter 5282 words
- Summary191 words
Ch. 6APPLICATION OF DERIVATIVES13 sections
- Chapter 6: Application of Derivatives43 words
- 6.1 Introduction278 words
- 6.2 Rate of Change of Quantities693 words
- EXERCISE 6.1329 words
- 6.3 Increasing and Decreasing Functions725 words
- EXERCISE 6.2353 words
- 6.4 Maxima and Minima804 words
- 6.4.1 Maximum and Minimum Values of a Function in a Closed Interval445 words
- Working Rule503 words
- EXERCISE 6.3514 words
- Miscellaneous Examples711 words
- *Miscellaneous Exercise on Chapter 6*563 words
- Summary230 words