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Q.

Let the length of the latus rectum of an ellipse x2a2+y2b2=1 be equal to the length of its semi-major axis. If the radius of its director circle is 3 and e is its eccentricity, then the length of its latus rectum is

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a

1ab

b

1e

c

1a

d

1b

answer is C.

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Detailed Solution

 length of the latus rectum of an ellipse be equal to the length of its semi-major axis.

2b2a=a

radius of its director circle is 3 

2a2=3⇒a2=32

b2=34

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