Q. If the foci and vertices of an ellipse be $( \pm 1,0)$ and $( \pm 2,\ 0)$ then the minor axis of the ellipse is
A) $2\sqrt{5}$
B) 2
C) 4
D) $2\sqrt{3}$
Explanation
(d)
Given , $ae = 1$ and $a = 2\ \Rightarrow \ e = \frac{1}{2}$
$\therefore\ \ b = \sqrt{4\left( 1 - \frac{1}{4} \right)}\ \Rightarrow \ b = \sqrt{3}$
Hence, minor axis is $2\sqrt{3}$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.