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  • Please Solve R.D. Sharma class 12 Chapter relations Exercise 1.1 Question 9 sub question 1 Maths textbook Solution.

Please Solve R.D. Sharma class 12 Chapter relations Exercise 1.1 Question 9 subquestion 1 Maths textbook Solution.

Answers (1)

Answer: 

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

Hint:

 A relation R on set A is

 Reflexive relation:

If(a, a) \in R for 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 Reflexive, transitive but not symmetric is

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

Relation  R satisfies reflexivity and transitivity

(1,1),(2,2),(3,3) \in R

And (2,2),(2,1) \in R \Rightarrow(2,1) \in R

However,(2,1) \in R_{\text {but }}(1,2) \notin R

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