Any point on the line $y = x$ is of the form

(a, a)

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(0, a)

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(a, 0)

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(- a, a)

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Solution

The correct option is A $(a, a)$
The given equation is $x = y$
So, if $x = 1 \Rightarrow y = 1$
If $x = - 5 \Rightarrow y = - 5$
If $x = 0 \Rightarrow y = 0$
$∴$ By induction $x = a \Rightarrow y = a$
So, any point $P$ on the line $x = y$ will be of the form $P (a, a)$

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