Let (h,k) be the point of intersection of the tangent, then the chord of contact of tangent is the common chord of the circle x2+y2=12. Now, x2+y2−5x+3y−2=0 12−5x+3y−2=0 5x−3y−10=0 Also, the equation of the chord with respect to the point is, hx+ky−12=0 Therefore, the equation hx+ky−12=0 and 5x−3y−10=0 represent the same line. This implies k=−