The common tangents to the circle x^2 + y^2 = 2 and the parabola y^2 = 8x touch the circle at the points P, Q and the parabola at the points R, S. Then the area of the quadrilateral PQRS is

JEE Advanced 2014 Mathematics question

The common tangents to the circle and the parabola touch the circle at the points P, Q and the parabola at the points R, S. Then the area of the quadrilateral PQRS is

(A)3
(B)6
(C)9
(D)15Correct

Answer: (D)

Solution

Tangents to : . Tangency to the circle: . Tangents: and . Points of contact with the circle (feet of perpendiculars

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Question ID VK-026348