- Relations and Functions Exercise 01
- Relations and Functions Exercise 02
- Relations and Functions Exercise 03

- Inverse Trigonometric Functions Exercise 01
- Inverse Trigonometric Functions Exercise 02
- Inverse Trigonometric Functions Miscellaneous Exercise

- Matrices Exercise 01
- Matrices Exercise 02
- Matrices Exercise 03
- Matrices Exercise 04
- Matrices Miscellaneous Solutions

- Determinants Exercise 01
- Determinants Exercise 02
- Determinants Exercise 03
- Determinants Exercise 04
- Determinants Exercise 05
- Determinants Exercise 06
- Determinants Miscellaneous Exercises

- Continuity and Differentiability Exercise 01
- Continuity and Differentiability Exercise 02
- Continuity and Differentiability Exercise 03
- Continuity and Differentiability Exercise 04
- Continuity and Differentiability Exercise 05
- Continuity and Differentiability Exercise 06
- Continuity and Differentiability Exercise 07
- Continuity and Differentiability Exercise 08
- Continuity and Differentiability Miscellaneous Exercises

- Application of Derivatives Exercise 01
- Application of Derivatives Exercise 02
- Application of Derivatives Exercise 03
- Application of Derivatives Exercise 04

- Three Dimensional Geometry Exercise 01
- Three Dimensional Geometry Exercise 02
- Three Dimensional Geometry Exercise 03
- Three Dimensional Geometry Miscellaneous Exerci

### Relations and Functions Exercise 03

## Question:

Let R be the relation in the set {1,2,3,4} given by R={(1,2),(2,2),(1,1),(4,4),(1,3),(3,3),(3,2)}. Choose the correct answer. A R is reflexive and symmetric but not transitive. B R is reflexive and transitive but not symmetric. C R is symmetric and transitive but not reflexive. D R is an equivalence relation.

## Answer:

A R is reflexive and symmetric but not transitive.

## Question:

Let R be the relation in the set N given by R={(a,b):a=b−2,b>6}. Choose the correct answer. A (2,4)∈R B (3,8)∈R C (6,8)∈R D (8,7)∈R

## Answer:

C (6,8)∈R