Q.

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)
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