If the distances of P(x,y) from A (6, 2) and B (–2, 6) are equal, prove that y = 2x.
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Step-by-step explanation:
(y-2)²+(x-6)²=(y-6)²+(x+2)²
⇒y²+4-4y-y²-36+12y=x²+4+4x-x²-36+12x
⇒8y=16x
⇒∴y=2x
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