Question

A point moves so that square of its distance from the point (3, –2) is numerically equal to its distance from the line 5x – 12y = 3. The equation of its locus is ____.

Answer 1

Answer is 13(x2 + y2) – 83 x + 64 y + 182 = 0

Let the moving point be P(h, k).

Given point is A(3, -2).