Five Questions worksheet – **Chapter wise – Exercise wise worksheets of 5 questions as per NCERT book**

## Chapter 1 – Relations and Functions

Exercise | Sub – topic | |||

1.1 | REFLEXIVE, SYMMETRIC AND TRANSITIVE | WS 1 | WS 2 | WS 3 |

1.2 | TYPES OF FUNCTIONS | WS 1 | WS 2 | WS 3 |

1.3 | INVERTIBLE FUNCTIONS | WS 1 | WS 2 | WS 3 |

1.4 | BINARY FUNCTIONS | WS 1 | WS 2 | WS 3 |

## Chapter 2 – Inverse Trigonometric Functions

Exercise | Sub – topic | |||

2.1 | PRINCIPLE VALUES | WS 1 | WS 2 | WS 3 |

2.2 | PROPERTIES OF INVERSE TRIGONOMETRIC FUNCTIONS | WS 1 | WS 2 | WS 3 |

## Chapter 3 – Matrices

Exercise | Sub – topic | |||

3.1 | INTRODUCTION | WS 1 | WS 2 | WS 3 |

3.1 | TYPES OF MATRICES, EQUALITY OF MATRICES | WS 1 | WS 2 | WS 3 |

3.2 | PROP. OF MATRICES | WS 1 | WS 2 | WS 3 |

3.3 | TRANSPOSE OF A MATRIX | WS 1 | WS 2 | WS 3 |

3.4 | ELEMENTRY TRANSFORMATION | WS 1 | WS 2 | WS 3 |

## Chapter 4 – Determinants

Exercise | Sub – topic | |||

4.1 | INTRODUCTION | WS 1 | WS 2 | WS 3 |

4.2 | PROP. OF DETERMINANTS | WS 1 | WS 2 | WS 3 |

4.3 | AREA OF TRIANGLE | WS 1 | WS 2 | WS 3 |

4.4 | MINORS AND COFACTORS | WS 1 | WS 2 | WS 3 |

4.5 | ADJOINT AND INVERSE OF A MATRIX | WS 1 | WS 2 | WS 3 |

4.6 | APPLICATION OF A MATRIX | WS 1 | WS 2 | WS 3 |

## Chapter 5 – Continuity and Differentiability

Exercise | Sub – topic | |||

5.1 | CONTINUITY | WS 1 | WS 2 | WS 3 |

5.2 | CHAIN RULE, PRODUCT RULE, QUOTIENT RULE | WS 1 | WS 2 | WS 3 |

5.3 | DIFFERENTIATION OF IMPLICIT FUNCTIONS | WS 1 | WS 2 | WS 3 |

5.3 | DIFFERENTIATION OF INVERSE TRIGONOMETRIC FUNCTIONS | WS 1 | WS 2 | WS 3 |

5.4 | DIFFERENTIATION OF E FUNCTIONS | WS 1 | WS 2 | WS 3 |

5.5 | DIFFERENTIATION OF LOG FUNCTIONS | WS 1 | WS 2 | WS 3 |

5.6 | DIFFERENTIATION IN PARAMETRIC FORMS | WS 1 | WS 2 | WS 3 |

5.7 | SECOND ORDER DERIVATIVES | WS 1 | WS 2 | WS 3 |

5.8 | MEAN VALUE THEOREMS | WS 1 | WS 2 | WS 3 |

## Chapter 6 – Application of Derivatives

Exercise | Sub – topic | |||

6.1 | RATE OF TRANSFER | WS 1 | WS 2 | WS 3 |

6.2 | INCREASING DECREASING FUNCTIONS | WS 1 | WS 2 | WS 3 |

6.3 | TANGENTS AND NORMALS | WS 1 | WS 2 | WS 3 |

6.4 | APPROXIMATIONS | WS 1 | WS 2 | WS 3 |

6.5 | MAXIMA MINIMA | WS 1 | WS 2 | WS 3 |

## Chapter 7 – Integrals

Exercise | Sub – topic | |||

7.1 | INTRODUCTION TO INTEGRATION | WS 1 | WS 2 | WS 3 |

7.2 | INTEGRATION BY SUBSTITUTION | WS 1 | WS 2 | WS 3 |

7.3 | INTEGRATION USING TRIGONOMETRIC IDENTITIES | WS 1 | WS 2 | WS 3 |

7.4 | INTEGRATION OF SOME PARTICULAR FUNCTIONS | WS 1 | WS 2 | WS 3 |

7.5 | INTEGRATION BY PARTIAL FUNCTIONS | WS 1 | WS 2 | WS 3 |

7.6 | INTEGRATION BY PARTS | WS 1 | WS 2 | WS 3 |

7.7 | INTEGRATION OF MORE TYPES | WS 1 | WS 2 | WS 3 |

7.8 | INTEGRATION AS LIMIT AS A SUM | WS 1 | WS 2 | WS 3 |

7.9 | DEFINITE INTEGRALS | WS 1 | WS 2 | WS 3 |

7.10 | DEFINITE INTEGRALS USING SUBSTITUTION | WS 1 | WS 2 | WS 3 |

7.11 | DEFINITE INTEGRALS USING PROPERTIES | WS 1 | WS 2 | WS 3 |

## Chapter 8 – Application of Integrals

Exercise | Sub – topic | |||

8.1 | AREA UNDER A LINE AND A CURVE | WS 1 | WS 2 | WS 3 |

8.2 | AREA BETWEEN TWO CURVES | WS 1 | WS 2 | WS 3 |

8.2 | AREA OF A TRIANGULAR SECTION | WS 1 | WS 2 | WS 3 |

## Chapter 9 – Differential Equations

Exercise | Sub – topic | |||

9.1 | ORDER AND DEGREE OF A DIFFERENTIAL EQUATION | WS 1 | WS 2 | WS 3 |

9.2 | GENERAL AND PARTICULAR SOLUTIONS OF A DIFFERENTIAL EQUATION | WS 1 | WS 2 | WS 3 |

9.3 | FORMATION OF A DIFFERENTIAL EQUATION | WS 1 | WS 2 | WS 3 |

9.4 | DIFFERENTIAL EQUATION BY VARIABLE SEPERATION | WS 1 | WS 2 | WS 3 |

9.5 | HOMOGENEOUS DIFFERENTIAL EQUATIONS | WS 1 | WS 2 | WS 3 |

9.6 | LINEAR DIFFERENTIAL EQUATION USING INTEGRAL FACTOR | WS 1 | WS 2 | WS 3 |

## Chapter 10 – Vectors

Exercise | Sub – topic | |||

10.1 | INTRODUCTION TO VECTORS | WS 1 | WS 2 | WS 3 |

10.2 | ADDITION OF VECTORS | WS 1 | WS 2 | WS 3 |

10.3 | SCALAR PRODUCT OF TWO VECTORS | WS 1 | WS 2 | WS 3 |

10.4 | VECTOR PRODUCT OF VECTORS | WS 1 | WS 2 | WS 3 |

## Chapter 11 – 3 Dimensional Geometry

Exercise | Sub – topic | |||

11.1 | Direction Ratios | WS 1 | WS 2 | WS 3 |

11.1 | Direction Cosines | WS 1 | WS 2 | WS 3 |

11.2 | Equation of a line | WS 1 | WS 2 | WS 3 |

11.2 | Angle between two lines | WS 1 | WS 2 | WS 3 |

11.2 | Shortest distance between two lines | WS 1 | WS 2 | WS 3 |

11.2 | Distance between two skew lines | WS 1 | WS 2 | WS 3 |

11.2 | Distance between parallel lines | WS 1 | WS 2 | WS 3 |

11.3 | Equation of a plane in normal form | WS 1 | WS 2 | WS 3 |

11.3 | Equation – plane perpendicular to a vector and passing through a point | WS 1 | WS 2 | WS 3 |

11.3 | Equation – plane passing through 3 non collinear points | WS 1 | WS 2 | WS 3 |

11.3 | Equation – plane passing through intersection of two planes | WS 1 | WS 2 | WS 3 |

11.3 | Intercept of a plane | WS 1 | WS 2 | WS 3 |

11.3 | Coplanarity of two lines | WS 1 | WS 2 | WS 3 |

11.3 | Angle between two planes | WS 1 | WS 2 | WS 3 |

11.3 | Distance of a point from a plane | WS 1 | WS 2 | WS 3 |

11.3 | Angle between a line and a plane | WS 1 | WS 2 | WS 3 |

11.3 | Distance between two planes | WS 1 | WS 2 | WS 3 |

## Chapter 13 – Probability

Exercise | Sub – topic | |||

13.1 | Conditional Probability | WS 1 | WS 2 | WS 3 |

13.2 | Multiplication Theorem | WS 1 | WS 2 | WS 3 |

13.2 | Independent Events | WS 1 | WS 2 | WS 3 |

13.3 | Baye’s Theorem | WS 1 | WS 2 | WS 3 |

13.4 | Probability Distribution | WS 1 | WS 2 | WS 3 |

13.4 | Mean and Variance | WS 1 | WS 2 | WS 3 |

13.5 | Binomial Distribution | WS 1 | WS 2 | WS 3 |