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Let an ellipse E:x^2 \over a^2 + y^2 \over b^2 = 1, a^2 > b^2, passes through \left( √ 3 \over 2 ,1 \right) and has eccentricity 1 \over √ 3 . If a circle, centered at focus F(α, 0), α > 0, of E and radius 2 \over √ 3 , intersects E at two points P and Q, then PQ2 is equal to : | Watch the step-by-step video solution for this NIMCET PYQ.