(A, B) : A^2 + B^2 = 1 on the sets has the following relation. - Vidyadip

MCQ

$\{ (A, B) : A^2 + B^2 = 1\}$ on the sets has the following relation.

A
Reflexive
✓
Symmetric
C
Reflexive and transitive
D
None

✓

Answer

Correct option: B.

Symmetric

Given ${(a, b) : a^2 + b^2 = 1}$ on the set $S.$
Now $a^2 + b^2 = b^2 + a^2 = 1$
So, the given relation is symmetric.

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