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The tangent to the parabola y=x^(2)-2x+8...

The tangent to the parabola `y=x^(2)-2x+8` at `P(2, 8)` touches the circle `x^(2)+y^(2)+18x+14y+lambda=0` at Q. The coordinates of point Q are

A

`(-7, -12)`

B

`(-9, -13)`

C

`(-11, -16)`

D

`(-(31)/(5),-(42)/(5))`

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The correct Answer is:
D
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