Conic Sections Question 378
Question: 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
[Karnataka CET 2001]
Options:
A) 8
B) 64
C) 16
D) 32
Show Answer
Answer:
Correct Answer: D
Solution:
Given, distance between the foci $ =2ae=16 $ and eccentricity of ellipse (e) $ =1/2 $ . We know that length of the major axis of the ellipse $ =2a=\frac{2ae}{e}=\frac{16}{1/2}=32. $