Find the eccentricity of the ellipse if :
the latus-rectum is one half of its minor axis.

Find the eccentricity of the ellipse if : the latus-rectum is one half of its major axis.

Write the eccentricity of the hyperbola whose latus rectum is half of its transverse axis.

The eccentricity of the hyperbola whose latus rectum is half of its transverse axis is:

The eccentricity of the ellipse x^2/a^2+y^2/b^2=1 , if its latus rectum is half of its minor axis, is :

Find the eccentricity of the ellipse if : the distance between the foci is equal to the length of latus-rectum.

A parabola is drawn whose focus is one of the foci of the ellipse x^2/a^2 + y^2/b^2 = 1 (where a>b) and whose directrix passes through the other focus and perpendicular to the major axes of the ellipse. Then the eccentricity of the ellipse for which the length of latus-rectum of the ellipse and the parabola are same is

The eccentricity of the hyperbola whose latus-rectum is 8 and length of the conjugate axis is equal to half the distance between the foci, is

Find the eccentricity of an ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 whose latus rectum is half of its major axis.

Find the lengths of major and minor axes,the coordinate of foci, vertices and the eccentricity of the ellipse 3x^(2)+2y^(2)=6 . Also the equation of the directries.