Let an ellipse E: x^2 a^2 + y^2 b^2 =1, a^2b^2, passes through ( 3 2 ,1 ) and has eccentricity 1 3 . If a...

Question

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

Accepted Answer

(C)

JEE Main 2021 Mathematics question

Solution