QJEEM23Ma7624: JEE Main 2023 Mathematics - Class 11 JEEM23Ma7624 Solution: Let A = { 1 , 2 , 3 , 4 , 5 , 6 , 7 } . Then the relation R = { …

Question

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Let $A = {1, 2, 3, 4, 5, 6, 7}$ . Then the relation $R = {(x, y) \in A \times A : x + y = 7}$ is :

Accepted Answer

Here,

A=\{1,2,3,4,5,6,7\}

Since,

x+y=7 \Rightarrow y=7-x

So,

\mathrm{R}=\{(1,6),(2,5),(3,4),(4,3),(5,2),(6,1)\}

\because(a, b) \in \mathrm{R} \Rightarrow(b, a) \in \mathrm{R}

\therefore \mathrm{R}

is symmetric only.

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