Q. If $P$ is a point on the ellipse $\frac{x^{2}}{16} + \frac{y^{2}}{20} = 1$ whose foci are $S$ and $S'$. Then $PS + PS'$ is

A) 8
B) $4\sqrt{5}$
C) 10
D) 4
Explanation

(b)
As we know, if $P$ is any point on the ellipse, then sum of focal distances of any point on the ellipse is equal to the length of major axis, $ie,\ PS + Ps^{'} = 2a = 2 \bullet \sqrt{20} = 4\sqrt{5}$

Dr. Abubacker
Reviewed by Dr. Abubacker

Physics Educator & NEET/JEE Specialist

Ph.D. in Physics with 19+ years of teaching experience.

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