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If e' is the eccentricity of the ellipse...

If e' is the eccentricity of the ellipse `(x^(2))/(a^(2)) + (y^(2))/(b^(2)) =1` `(a gt b)`, then

A

`b^(2)=a^(2)(1-e^(2))`

B

`a^(2)=b^(2)(1-e^(2))`

C

`a^(2)=b^(2)(e^(2)-1)`

D

`b^(2)=a^(2)(e^(2)-1)`

Text Solution

Verified by Experts

The correct Answer is:
B
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