Conic Sections Question 330
If the eccentricity of an ellipse be $ 1/\sqrt{2} $ , then its latus rectum is equal to its major axis
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{2b^{2}}{a}( 1-\frac{1}{2} )= \frac{b^{2}}{a} $
i.e., semi-major axis.
BETA
