JEE Advanced Mathematics question

Two tangents to the circle at the points A and B meet at P(−4, 0). The area of the quadrilateral PAOB, where O is the origin, is

Answer: (C)

Solution

*(Figure: circle centre O(0, 0), radius 2; P(−4, 0) on the negative -axis; tangents PA, PB; OA ⟂ PA, OB ⟂ PB.)*

, , and , so .

PAOB consists of two congruent right triangles

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Question ID VK-108937