Find the range of eccentricity of the ellipse `x^2/a^2+y^2/b^2=1`, (where a > b) such that the line segment joining the foci does not subtend a right angle at any point on the ellipse.

Find the range of eccentricity of the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1, (where a > b) such that the line segment joining the foci does not subtend a right angle at any point on the ellipse.

If e is eccentricity of the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 (where,a lt b), then

" Eccentricity of ellipse " (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 " such that the line joining the foci subtends a right angle only at two points on ellipse is "

If e' is the eccentricity of the ellipse (x^(2))/(a^(2)) + (y^(2))/(b^(2)) =1 (a gt b) , then

Find the foci and eccentricity of ellipse (x^(2))/(16) + (y^(2))/(4) = 1 .

In an ellipse x^(2)/a^(2) + y^(2)/b^(2) = 1 where a gt b , the distance of the normal from the centre does not exceed by ?

The intercept made by the auxiliary circle of the ellipse (x ^(2))/(a ^(2)) + (y ^(2))/(b ^(2)) =1 (a gt b gt 1) on any tangent to the ellipse, subtends a right angle at its ceotre if

Number of points on the ellipse x^2/a^2+y^2/b^2=1 at which the normal to the ellipse passes through at least one of the foci of the ellipse is