If the tangent to the conic, y–6=x2 at (2,10) touches the circle, x2 – InterviewSolution

1.	If the tangent to the conic, y–6=x2 at (2,10) touches the circle, x2+y2+8x–2y=k (for some fixed(k) at a point (α,β); then (α,β) is :
Answer» If the tangent to the conic, $y - 6 = x^{2}$ at $(2, 10)$ touches the circle, $x^{2} + y^{2} + 8 x - 2 y = k$ (for some fixed $(k)$ at a point $(α, β)$ ; then $(α, β)$ is :

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