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Let an ellipse E:(x^(2))/(a^(2))+(y^(2))...

Let an ellipse `E:(x^(2))/(a^(2))+(y^(2))/(b^(2))=1,a^(2)gtb^(2)` ,passes through `(sqrt(3/2),1)` and has eccentricity `(1)/(sqrt(3))` .If a circle , centered at focus `F(alpha,0),alphagt0`, of E and radius `(2)/(sqrt(3))`, intersects E at two points P and Q ,then `PQ^(2)` is equal to :

A

`(8)/(3)`

B

`(4)/(3)`

C

`(16)/(3)`

D

3

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JEE MAINS PREVIOUS YEAR-JEE MAINS 2021-Mathematics (Section A )
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