Point P(x, y) is equidistant from points A(5, 1) and B(1, 5) . Prove that x = y .

CBSE Class 10 Maths PYQ · Coordinate Geometry · Distance Formula · 2 Marks · March 2023 · Standard

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262 Marks · March 2023 · Standard
Point $P(x, y)$ is equidistant from points $A(5, 1)$ and $B(1, 5)$. Prove that $x = y$.
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$PA^2 = PB^2 \Rightarrow (x-5)^2 + (y - 1)^2 = (x - 1)^2 + (y - 5)^2$
$\Rightarrow x = y$
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