[" The normal drawn to the ellipse "(x^(2))/(a^(2))+(y^(2))/(b^(2))=1" at the extremity of the latus rectum passes through the "],[" extremity of the minor axis.Eccentricity of this ellipse is equal to: "]

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

If the normal at an end of a latus-rectum of an elipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 passes through one extremity of the minor axis,show that the eccentricity of the ellipse is given by e^(4)+e^(-1)=0

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 .

If the latus-rectum of the ellipse is half the minor axis, then its eccentricity is :

The eccentricity of an ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 whose latus rectum is half of its minor axis is

The value of a for the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1,(a>b), if the extremities of the latus rectum of the ellipse having positive ordinates lie on the parabola x^(2)=2(y-2) is

If latus-rectum is one-third minor axis, then eccentricity of the ellipse is

If the normal at an end of a latus-rectum of an ellipse x^(2)/a^(2) + y^(2)/b^(2) = 1 passes through one extremity of the minor axis, show that the eccentricity of the ellipse is given by e = sqrt((sqrt5-1)/2)