An ellipse whose focii are (2,4) and (14,9) and touches X -axis then its eccentricity is

Let x+2=0 is a tangent to an ellipse whose foci are (1,3) and (4,7) .If e is the eccentricity of the ellipse then e^(2)+(266)/(97) is equal to

An ellipse with focii (1,4) and (alpha,beta) touches the x -axis at (5,0). Then the value of alpha-beta is

An ellipse whose ends of major axis are (-4,0) and (4,0) and minor axis of length is 4 unit. A circle whose centre is at origin o and radius equal to 3 units intersects ellipse at R1, R2, R3 and R4. A common tangent in first quadrant touches ellipse at Q, circle at P and meets the major axisat N and minor axis at M.The eccentricity of ellipse is equal to

Find the equation of the ellipse the extremities of whose minor axis are (3, 1) and (3, 5) and whose eccentricity is 1/2 .

Find the equaiton of the ellipse, the extermities of whose minor axis are (3,1) and (3, 5) and whose eccentricity is 1/2 .

The length of subnormal at (4,2) to an ellipse is 3 .Then its eccentricity is

If the distance between the foci of an ellipse is equal to length of minor axis, then its eccentricity is

Consider an ellipse, whose centre is at the origin and its major axis is along the x-axis. If its eccentricity is and the 3/5 distance between its foci is 6, then the area (in sq, units) of the quadrilateral inscribed in the ellipse, with the vertices as the vertices of the ellipse, is :

if the vertices of an ellipse are (-12,4) and (14,4) and eccentricity 12/13 , then the equation of the ellipse ,is