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Cambridge AS & A Level. 2025. Mathematics (9709). May/June - Paper 1 (11) · Pure Mathematics 1 - Question 14

Cambridge AS & A Level · Paper 1 (11) · Pure Mathematics 1

Question 14

The circle with equation $x^2 + y^2 - 6x + 10y - 27 = 0$ intersects the line $x = -2$ at the points $P$ and $Q$.

Find the area of the triangle formed by the tangents to the circle at $P$ and $Q$, and the line $x = -2$.
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