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MHT CET 2026 Mathematics question

MathematicsCircleMHT CET 2026

Let PA and PB be the tangent segments drawn from point P(6, 8) to the circle with the centre at origin O. The radius of circle for which the area of quadrilateral PAOB is maximum, is.....

Answer: (B)

Solution

Let the radius be . Then . The radius is perpendicular to the tangent , so is right-angled at with . The quadrilateral consists of two congruent such triangles, so its area is $Missing argument for \mathcal\mathcal A=2·Missing argument for \frac\frac12·

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Question ID VK-100941