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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 `lt ` 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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