An ellipse has OB as a semi-minor axis, F and F' are its two foci and the angle FBF' is a right angle. Find the eccentricity of the ellipse.

An ellipse has OB as the semi-minor axis,F and F' as its foci,and /_FBF' a right angle.Then,find the eccentricity of the ellipse.

If OB is the semi-minor axis of an ellipse, F_1 and F_2 are its foci and the angle between F_1B and F_2B is a right angle, then the square of the eccentricity of the ellipse is

B is extermity of the minor axis of an elipse whose foci are S and S'. If angle SBS' is a right angle, then the eccfentricity of the ellipse is

Let S and s' be the foci of an ellipse and B be one end of its minor axis . If SBS' is a isosceles right angled triangle then the eccentricity of the ellipse is

Let (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 , a gt b , be an ellipse with foci F_(1) and F_(2) . Let AO be its semi-minor axis. Where O is the centre of the ellipse. The lines AF_(1) and AF_(2) , when extended, , cut the ellipse again at point B and C respectively. Suppose that the triangle ABC is equilateral. Then the eccentricity of the ellipse is

If the lines joining the foci of an ellipse to an end of its minor axis are at right angles , then the eccentricity of the ellipse is e =