If ${(x, 2), (4, y)}$ represents an identity function, then $(x, y)$ is :

(2, 4)

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(4, 2)

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(2, 2)

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(4, 4)

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Solution

The correct option is A (2, 4)
Identity funtion returns the same value as of input.
Since input $x$ gives output $2$
$∴$ $x = 2$
Similarly input of $4$ gives output $y$
$∴ y = 4$
$\Rightarrow (x, y) = (2, 4)$

Option (a) is correct.

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