CAIE P1 2024 June — Question 8

Exam BoardCAIE
ModuleP1 (Pure Mathematics 1)
Year2024
SessionJune
TopicCircles

8 A circle with equation \(x ^ { 2 } + y ^ { 2 } - 6 x + 2 y - 15 = 0\) meets the \(y\)-axis at the points \(A\) and \(B\). The tangents to the circle at \(A\) and \(B\) meet at the point \(P\). Find the coordinates of \(P\).
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