Conic Sections Question 330

Question: If the eccentricity of an ellipse be $ 1/\sqrt{2} $ , then its latus rectum is equal to its

Options:

A) Minor axis

B) Semi-minor axis

C) Major axis

D) Semi-major axis

Show Answer

Answer:

Correct Answer: D

Solution:

$ e=\frac{1}{\sqrt{2}} $ ; Latus rectum $ =\frac{2b^{2}}{a}=\frac{2a^{2}}{a}( 1-\frac{1}{2} )=a $

i.e., semi-major axis.