A Diameter Through the Origin

★ 5/10Circles conic sections analytic geometry Vieta's Formulas

Problem

The circle $x^2 + y^2 - 6y + m = 0$ and the line $x + 2y - 3 = 0$ meet at points $P$ and $Q$ , and the circle with diameter $PQ$ passes through the origin. Find $m$ .

Answer

Solution

Difficulty	5/10
Topics	Circles, conic sections, analytic geometry, Vieta's Formulas

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