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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

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

B

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

C

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

D

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

Text Solution

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The correct Answer is:
D
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