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If the normal at any point P on ellipse `(x^(2))/(a^(2))+(y^(2))/(b^(2)) =1` meets the auxiliary circle at Q and R such that `/_QOR = 90^(@)` where O is centre of ellipse, then

A

`a^(4)+2b^(4) ge3a^(2)b^(2)`

B

`a^(4)+2b^(4) ge5a^(2)b^(2)+2a^(2)b`

C

`a^(4)+2b^(4) ge 3a^(2) b^(2)+ab`

D

none of these

Text Solution

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The correct Answer is:
B
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