If the tangent to the conic, y - 6= x^2 ...

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 `(alpha, beta);` then

A

`(- (6)/(17),(10)/(17))`

B

`(-(8)/(17), (2)/(17))`

C

`(-(4)/(17), (1)/(17))`

D

`(- (7)/(17), (6)/(17))`

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The correct Answer is:

B

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