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

The line 3x-4y=12 is a tangent to the ellipse with foci (-2,3) and (-1,0). Find the eccentricity of the ellipse.

If e be the eccentricity of ellipse 3x2+2xy+3y^(2)=1 then 8e^(2) is

Find the equation of the ellipse whose foci re (4,0) and (-4,0) eccentricity =1/3

Find the equation to the ellipse whose foci are (4, 0) and (-4, 0) and eccentricity is 1/3 .

Let x + 6y = 8 is tangent to standard ellipse where minor axis is 4/sqrt3 , then eccentricity of ellipse is

The equation of the ellipse whose foci are (0,+-2) and eccentricity 2/3 is

The equation to the ellipse whose foci are (pm2,0) and eccentricity 1/2 is

The equation of the ellipse whose foci are (pm2,0) and eccentricity is 1/2 is

The line joining the foci F and F' of an ellipse subtend a right angle at the positive end B of the minor axis.If e is the eccentricity of the ellipse then the value of 2e^(2)+1 is equal to