Find the locus of a point which moves in such away that the square of its distance from the point `(3,-2)` is numerically equal to its distance from the line `5x-12 y=13.`

Explanation

Let P(h, k) be the moving point and given point be A(3, -2).


`AP = sqrt((h – 3)^2 + (k + 2)^2`


`(AP)^2 = (h – 3)^2 + (k + 2)^2`


Distance of the point (h, k) from the line `5x – 12y = 13` is


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