Question
If a point P(x, y) is equidistant from A(6, 2) and B(-2,
6), find the equation representing this condition.Solution
ATQ, Using the distance formula, 
On Squaring both sides, 
Expanding, 
Canceling x2and y2
−12x − 4y + 40 = 4x − 12y + 40 −12x − 4y − 4x + 12y = 0 −16x + 8y = 0 2x − y = 0 Thus, the equation is 2x - y = 0. Hence, 2x = y is answer.
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