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  • Please Solve R.D. Sharma class 12 Chapter relations Exercise 1.1 Question 9 sub question 2 Maths textbook Solution.

Please Solve R.D. Sharma class 12 Chapter relations Exercise 1.1 Question 9 sub question 2 Maths textbook Solution.

Answers (1)

Answer:   R=\{(1,2),(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\}

Solution:

The relation on A having properties of being symmetric but neither transitive nor reflexive.

 Let R=\{(1,2),(2,1)\}

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

So, it is symmetric.

Clearly R is not transitive (1,2) \in R,(2,1) \in R \text { but }(1,1) \notin R

 

 

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