If $P (x, y)$ and $P^{'} (y, x)$ are same points then which of the following is true?

x + y = 0

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x y = 0

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x - y = 0

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\frac{x}{y} = 0

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Solution

The correct option is A $x - y = 0$
Given, $P (x, y)$ & $P^{'} (y, x)$ are same point.
$\Rightarrow$ Corresponding coordinates are equal.
$\Rightarrow x = y$
$\Rightarrow x - y = 0$

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