First slide
Ellipse
Question

P and Q are the focus of the ellipse x2a2+y2b2=1  and B is an end of the minor axis. If PBQ is an equilateral triangle, then the eccentricity of the ellipse is

Moderate
Solution

We have PQ = BP
or 2ae=a2e2+b2=a2=a
or e=12

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