If the distance of p(x,y) from A (6,2) and B(-2,6) are equal,
.
Prove that
y=2x
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AP = BP
=> AP² = BP²
Using distance formula
(6-x)² + (2-y)² = (-2-x)² + (6-y)²
=> 40 - 12x - 4y = 40 + 4x - 12y
=> 8y = 16x
=> y = 2x
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