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  • Please Solve R.D. Sharma class 12 Chapter relations Exercise 1.1 Question 9 sub question 3 Maths textbook Solution.

Please Solve R. D. Sharma class 12 Chapter relations Exercise 1.1 Question 9 sub question 3 Maths textbook Solution.

Answers (1)

Answer:

R=\{(1,1),(2,2),(3,3),(4,4),(1,2),(2,1)\}

The relation R is an equivalence relation on A

Hint:

A relation R on set A is

 Reflexive relation:

If (a, a) \in Rfor every a \in A

Symmetric relation:

If \left ( a,b \right ) is true then \left ( b,a \right )  is also true for every a, b \in A

Transitive relation:

\text { If }(a, b) \text { and }(b, c) \in R, \text { then }(a, c) \in R \text { for every } \mathrm{a}, \mathrm{b}, \mathrm{c} \in A

Given:

A=\{1,2,3,4\}

Solution:

 The relation on A having properties of being

Symmetric, reflexive and transitive is

R=\{(1,1),(2,2),(3,3),(4,4),(1,2),(2,1)\}

The relation R is an equivalence relation on A

 

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