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