A Conic Chord Construction

★ 8/10Pole and Polar Parametrization conic sections analytic geometry

Problem

Let $P_1, P_2, P_3, P_4$ be four points on a conic $\Gamma \colon g(x, y) = 0$ . The lines $P_1P_3$ and $P_2P_4$ meet at $Q(x_0, y_0)$ , and the line $P_1P_2$ has equation $f(x, y) = 0$ . Find the equation of the line $P_3P_4$ .

Answer

Solution

Difficulty	8/10
Topics	Pole and Polar, Parametrization, conic sections, analytic geometry

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