iran-konkur 2019 Q135

iran-konkur · Other · konkur-riazi_1398_specialized_new-curriculum Conic sections Focal Distance and Point-on-Conic Metric Computation
135- In an ellipse with semi-major axis $2\sqrt{5}$ and 2 foci, the two foci and the two ends of the minor axis form a square. The sum of the squares of the focal radii of point $M$ on the ellipse is which of the following?
(1) $12$ (2) $16$ (3) $18$ (4) $20$
\textbf{135-} In an ellipse with semi-major axis $2\sqrt{5}$ and 2 foci, the two foci and the two ends of the minor axis form a square. The sum of the squares of the focal radii of point $M$ on the ellipse is which of the following?

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(1) $12$ \hfill (2) $16$ \hfill (3) $18$ \hfill (4) $20$

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