Fill in the blank for the following : 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 ____.

Question

$\begin {array} {1 1} (A)\;13(x^2+y^2)+83x-64y-172=0 & \quad (B)\;13(x^2+y^2)-83x+64y-172=0 \\ (C)\;13(x^2+y^2)-83x+64y+172=0 & \quad (D)\;13(x^2+y^2)-83x-64y+172=0 \end {array}$