A) 0
B) 1
C) 2
D) 3
Correct Answer: B
Solution :
Focus of given parabola is (5, 2). Now any line through (5, 2) is (y - 2) = m (x - 5) This will be a tangent to the circle \[{{(x-7)}^{2}}\,+{{(y-2)}^{2}}=2,\] If \[\left| \frac{0-2m}{\sqrt{1+{{m}^{2}}}} \right|\,=\sqrt{2}\Rightarrow 4{{m}^{2}}\,=2+2{{m}^{2}}\Rightarrow \,m=\pm 1\]You need to login to perform this action.
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