Show that the double ordinate of the auxiliary circle of an ellipse passing through the focus is equal to the minor axis of the ellipse .

Find the eccentricity of the ellipse if the length of rectum is equal to half the minor axis of the ellipse .

If the normal at an end of a latus rectaum of an ellipse passes through an extremity of the minor axis then the eccentricity of the ellispe satisfies .

If the normal at an end of a latus rectaum of an ellipse passes through an extremity of the minor axis then the eccentricity of the ellispe satisfies .

The latus rectum of an ellipse is equal to one-half of its minor axis. The eccentricity of the ellipse is

If the minor axis of an ellipse subtends an angle 90^(@) at each focus then the eccentricity of the ellipse is

If the minor axis of an ellipse subtends an angle 60^(@) at each focus then the eccentricity of the ellipse is

From any point on any directrix of the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1,a > b , a pari of tangents is drawn to the auxiliary circle. Show that the chord of contact will pass through the correspoinding focus of the ellipse.

From any point on any directrix of the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1,a>b, a pari of tangents is drawn to the auxiliary circle.Show that the chord of contact will pass through the correspoinding focus of the ellipse.