Questions
If the distance between the foci of an ellipse is 6 and the distance between its directrices is 12, then the length of its latus rectum is:
a
3
b
32
c
32
d
23
detailed solution
Correct option is B
2ae=6 and 2ae=12⇒ae=3 and ae=6⇒a2=18⇒b2=a2−a2e2=18−9=9 ∴Length of latus rectum=2b2a=2×932=32Talk to our academic expert!
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In an ellipse, the distance between the foci is and length of semi minor axis is , then eccentricity of the ellipse is
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