SAT1000 - P765

Geometry Level pending

Let A,BA,B be the end points of the major axis of the ellipse C:x23+y2m=1C:\dfrac{x^2}{3}+\dfrac{y^2}{m}=1.

If there exists point MM on the ellipse so that AMB=2π3\angle AMB = \dfrac{2\pi}{3}, find the range of mm.

These pictures show the two cases:

Have a look at my problem set: SAT 1000 problems


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