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If P(theta),Q(theta+pi/2) are two points...

If `P(theta),Q(theta+pi/2)` are two points on the ellipse `x^2/a^2+y^2/b^2=1` and a is the angle between normals at P and Q, then

A

`2 sqrt (1- e ^(2))= e sin ^(2) 2 theta.tan alpha`

B

`2 sqrt (1 - e ^(2)) = e sin^(2)theta. Tan 2 alpha`

C

`sqrt(1- e ^(2)) = 2e ^(2) sin ^(2) 2 theta.tan alpha`

D

`2 sqrt (1-e ^(2))= e ^(2) sin 2 theta.tan alpha`

Text Solution

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The correct Answer is:
D
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