Tangent to the parabola \[y={{x}^{2}}+6\] at (1, 7) touches the circle \[{{x}^{2}}+{{y}^{2}}+16x+12y+c=0\] at the point [IIT Screening 2005]

Tangent to the parabola \[y={{x}^{2}}+6\] at (1, 7) touches the circle

1.	Tangent to the parabola \[y={{x}^{2}}+6\] at (1, 7) touches the circle \[{{x}^{2}}+{{y}^{2}}+16x+12y+c=0\] at the point [IIT Screening 2005]
A.	(?6, ?9)
B.	(?13, ?9)
C.	(?6, ?7)
D.	(13, 7)
Answer» D. (13, 7)

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Tangent to the parabola \[y={{x}^{2}}+6\] at (1, 7) touches the circle \[{{x}^{2}}+{{y}^{2}}+16x+12y+c=0\] at the point [IIT Screening 2005]

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