A Right Angle at $P$

★ 7/10Circles conic sections analytic geometry Vieta's Formulas

Problem

An ellipse centered at the origin $O$ has foci on the $x$ -axis and right vertex $A$ . If some point $P$ on the ellipse (other than $A$ ) satisfies $\angle OPA = 90^\circ$ , find the range of possible values of the eccentricity.

Answer

Solution

Difficulty	7/10
Topics	Circles, conic sections, analytic geometry, Vieta's Formulas

Whiteboard

Your sketch is saved only in this browser. To share it, export your drawing as an image (whiteboard menu → Export as → PNG), then upload that image in the comments below.

Discussion

Ask questions, share alternate solutions, and use LaTeX freely.

0 comments