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JEE Advanced Mathematics question

MathematicsCircleJEE Advanced

A tangent to the circle through the point cuts the circle at A and B. The tangents to the circle at A and B meet at C. The coordinates of C are

Answer: (A)

Solution

Let C . AB is the chord of contact of C w.r.t. : .

- AB passes through : . - AB touches : $=1 ⇒ α^2+β^2=16 ⇒

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Question ID VK-108947