MHT CET 2025 Mathematics question

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

(A) sq. units
(B) sq. units
(C) sq. unitsCorrect
(D) sq. units

Answer: (C)

Solution

The circle has centre and radius ; . The radius is perpendicular to the tangent at the point of contact, so and the tangent length is . The quadrilateral PAOB splits into the two congruent right triangles and

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Question ID VK-103034