A circle concentric to an ellipse (4x^(2...

A circle concentric to an ellipse `(4x^(2))/(289)+(4y^(2))/(lambda^(2))=1(lambda<(17)/(2))` passes through foci `F_(1)` and `F_(2)` cuts the ellipse at P such that area of triangle `PF_(1)F_(2)` is 30 sq.units.then a possible value of `F_(1)F_(2)` ,is
A) 13 B) 17 C) 34 D) 52

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