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If the normal at an end oof a lasrurectum of an ellipse `x^(2)/a^(2)+y^(2)/b^(2)=1` pases through one extremly of the minor axis, show that the eccentricity of the ellipse is given by `e^(4)+e^(2)-1=0` or `e^(2)=sqrt((5)-1/(2))`

A

`e^4+e^2=1`

B

`e^3+e^2=1`

C

`e^2+e=1`

D

`e^3+e=1`

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The correct Answer is:
A
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