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Symmetric Relations

x2 = xy is a ...

Question

$x^{2} = x y$ is a relation (defined on set R) which is

Symmetric

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Reflexive

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Transitive

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None of these

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Solution

The correct option is C Symmetric
Given , R: $x^{2} = x y$
Symmetric: If $(x, x) \in$ R
$x^{2} = x \times x$
$x^{2} = x^{2}, (x, x) \in$ R
So the relation is symmetric

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