The points on the line x = 2 from which the tangents drawn to the circle x2+y2=16 are at right angles is (are)
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a
(2,27)
b
(2,25)
c
(2,−27)
d
(2,−25)
answer is A.
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Detailed Solution
The point from which the tangents drawn are at right angle lies on the director circle.Equation of director circle x2+y2=2×16=32.Putting x = 2, we gety2 = 28or y=±27So, the points can be (2,27) or (2,−27)