Question

If eccentricity of the ellipse is $\frac{\sqrt{3}}{2}$, its length of latusrectum is

• A. (length of major axis)
• B. (length of major axis)
• C. (length of major axis)
• D. Length of major axis

Answer 1

The correct option is C (length of major axis)

L.L.R=$\frac{2b^2}{a}$
$b^2=a^2(1-e^2)$
Solving we get
LLR=$\frac{1}{4}$ (length of major axis)