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In an ellipse, its foci and the ends of its major axis are equally spaced. If the length of its semi-minor is ` 2sqrt(2),` them the length of its semi-major axis is

A

4

B

`2 sqrt(3)`

C

`sqrt(10)`

D

3

Text Solution

Verified by Experts

The correct Answer is:
D

A'S'=S S=SA
2ae=a-ae
3ae=a
e=1/3
`1-(b^(2))/(a^(2))=(1)/(9)rArr(b^(2))/(a^(2))=(8)/(9)`
`rArr(8)/(a^(2))=(8)/(9)rArra=3`
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