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Determine the coordinates of $P$.
Mathematics 9709 · AS & A Level · Coordinate geometry
Coordinate geometry — practice question
The circle with equation $x^2 + y^2 - 6x + 2y - 15 = 0$ crosses the $y$-axis at the points $A$ and $B$. The tangents to the circle at $A$ and $B$ intersect at the point $P$.