Q. The distance between the foci of an ellipse is 16 and eccentricity is $\frac{1}{2}$. Length of the major axis of the ellipse is
A) 8
B) 64
C) 16
D) 32
Explanation
(d)
Given the distance between the foci $= 2ae = 16$ and eccentricity of ellipse $(e) = \frac{1}{2}$
$\therefore$ Length of the major axis of the ellipse
$= 2a = \frac{2ae}{e} = \frac{16}{\frac{1}{2}} = 32$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.