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Mathematics (AS & A Level) · May / June 2026 · Paper 11 · Question 11

9709

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y x O P Q R The diagram shows a circle with equation ( ) ( ) x y 8 10 40 2 2 - + - = . The tangent to the circle at the point (6, 16) meets the y-axis at the point P. The tangent to the circle at the point (14, 8) meets the x-axis at the point R. The two tangents meet at the point Q. Find the exact area of the quadrilateral OPQR. [9]

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