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If the normals at an end of a latus rect...

If the normals at an end of a latus rectum of an ellipse passes through the other end of the minor axis, then prove that `e^(4) + e^(2) =1.`

A

`sqrt((sqrt(5)-1)/(3))`

B

`sqrt((sqrt(5)-1)/(2))`

C

`sqrt((sqrt(5))/(2)-1)`

D

`sqrt((sqrt(5))/(3)-1)`

Text Solution

Verified by Experts

The correct Answer is:
B
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