Home
Class 11
MATHS
A circle has the same center as an ellip...

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

Text Solution

AI Generated Solution

Promotional Banner

Similar Questions

Explore conceptually related problems

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 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

An ellipse having foci (3,1) and (1,1) passes through the point (1,3) has the eccentricity

An ellipse has foci (4, 2), (2, 2) and it passes through the point P (2, 4). The eccentricity of the ellipse is

Find the equation of the ellipse that passes through the origin and has the foci at the points (-1, 1) and S\'(1,1) .

An ellipse is sliding along the coordinate axes. If the foci of the ellipse are (1,1) and (3,3), then the area of the director circle of the ellipse (in square units) is 2pi (b) 4 pi (c) 6 pi (d) 8 pi

P is a variable point on the ellipse with foci S_(1) and S_(2). If A is the area of the triangle PS_(1)S_(2), the maximum value of A is

Let e the eccentricity of the ellipse passing through A(1, -1) and having foci at F_1 (-2, 3) and F_2 (5, 2), then e^2 equals

If F_1 (-3, 4) and F_2 (2, 5) are the foci of an ellipse passing through the origin, then the eccentricity of the ellipse is

Let P be a variable point on the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 with foci F_1" and "F_2 . If A is the area of the trianglePF_1F_2 , then the maximum value of A is