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The tangent at (1,7) to the curve x^(2)=...

The tangent at (1,7) to the curve `x^(2)=y-6` touches the circle `x^(2)+y^(2)+16x+12y+c=0` at

A

(6,7)

B

(-6,7)

C

(6,-7)

D

(-6,-7)

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The correct Answer is:
D
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