A circle has the same centre as an ellipse \& passes through the fo...

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A circle has the same centre as an ellipse \& passes through the focii \( F_{1} \& F_{2} \) of the ellipse, such that the two curves intersect at 4 points. Let 'P' be any one of their points of intersection. If the major axis of
\( \mathrm{P} \) the ellipse is \( 17 \& \) the area of the triangle \( P F_{1} F_{2} \) is 30 , then eccentricity of the ellipse is:

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