Question

If the tangent to the conic, $y-6=x^2$ at $(2,10)$ touches the circle $x^2+y^2+8x-2y=k$ (for some fixed k) at a point (a,... ); then (a,... ) is

Answer 1

SOLVING EQUATION( 1) AND( 2) AFTER PUTTING VALUE OF K IN EQUATION (2)

WE GET POINTS OF TOUCH AS (-8/17 ,2/17);