A circle concentric with the ellipse `(x^2)/(a^2)+(y^2)/(b^2)=1` and passes through the foci `F_1a n dF_2` of the ellipse. Two curves intersect at fur points. Let `P` be any point of intersection. If the major axis of the ellipse is 15 and the area of triangle `P F_1F_2` is 26, then find the valueof `4a^2-4b^2dot`

A circle concentric with the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 and passes through the foci F_1a n dF_2 of the ellipse. Two curves intersect at four points. Let P be any point of intersection. If the major axis of the ellipse is 15 and the area of triangle P F_1F_2 is 26, then find the value of 4a^2-4b^2dot

A circle concentric with the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 and passes through the foci F_(1) and F_(2) of the ellipse.Two curves intersect at fur points.Let P be any point of intersection.If the major axis of the ellipse is 15 and the area of triangle PF_(1)F_(2) is 26, then find the valueof 4a^(2)-4b^(2).

A circle has the same center as an ellipse and passes through the foci F_1a n dF_2 of the ellipse, such that the two curves intersect at four points. Let P be any one of their point of intersection. If the major axis of the ellipse is 17 and the area of triangle P F_1F_2 is 30, then the distance between the foci is

A circle has the same center as an ellipse and passes through the foci F_1a n dF_2 of the ellipse, such that the two curves intersect at four points. Let P be any one of their point of intersection. If the major axis of the ellipse is 17 and the area of triangle P F_1F_2 is 30, then the distance between the foci is

A circle has the same center as an ellipse and passes through the foci F_1a n dF_2 of the ellipse, such that the two curves intersect at four points. Let P be any one of their point of intersection. If the major axis of the ellipse is 17 and the area of triangle P F_1F_2 is 30, then the distance between the foci is

A circle has the same center as an ellipse and passes through the foci F_1a n dF_2 of the ellipse, such that the two cuves intersect at four points. Let P be any one of their point of intersection. If the major axis of the ellipse is 17 and the area of triangle P F_1F_2 is 30, then the distance between the foci is (a)13 (b) 10 (c) 11 (d) none of these

A circle has the same center as an ellipse and passes through the foci F_1a n dF_2 of the ellipse, such that the two cuves intersect at four points. Let P be any one of their point of intersection. If the major axis of the ellipse is 17 and the area of triangle P F_1F_2 is 30, then the distance between the foci is (a) 13 (b) 10 (c) 11 (d) none of these

A circle has same centre as an ellipse and passing through foci S_(1) and S_(2) of the ellipse. The two curves cut in four points. Let P be one of the points. If the Area of /_\PS_(1)S_(2) is 24 and major axis of the ellipse is 14. If the eccentricity of the ellipse is e, then the value of 7e is equal to

The line 2x+y=3 intersects the ellipse 4x^(2)+y^(2)=5 at two points. The point of intersection of the tangents to the ellipse at these point is