Distance to the Center

★ 5/10Law of Cosines conic sections analytic geometry

Problem

Consider the ellipse $\dfrac{x^2}{9} + \dfrac{y^2}{6} = 1$ with foci $F_1, F_2$ and center $O$ . A point $P$ on the ellipse satisfies

\cos\angle F_1PF_2 = \frac{3}{5}.

Find $|PO|$ .

Answer

Solution

Difficulty	5/10
Topics	Law of Cosines, conic sections, analytic geometry

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