Let the eccentricity of an ellipse `x^2/a^2+y^2/b^2=1` is reciprocal to that of the hyperbola `2x^2-2y^2=1`. If the ellipse intersects the hyperbola at right angles, then square of length of the latus-rectum of the ellipse is _______

The lenth of the latus rectum of the ellipse 3x^2+y^2=12 is :

Find the length of the latus rectum of the ellipse x^2/36+y^2/25=1

Let the eccentricity of the hyperbola x^(2)/a^(2) - y^(2)/b^(2) = 1 be reciprocal to that of the ellipse x^(2) + 4y^(2) = 4 . If the hyperbola passes through a focus of the ellipse, then

Let the eccentricity of the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 be the reciprocal to that of the ellipse x^(2)+4y^(2)=4 . If the hyperbola passes through a focus of the ellipse, then the equation of the hyperbola, is

let the eccentricity of the hyperbola x^2/a^2-y^2/b^2=1 be reciprocal to that of the ellipse x^2+4y^2=4. if the hyperbola passes through a focus of the ellipse then: (a) the equation of the hyperbola is x^2/3-y^2/2=1 (b) a focus of the hyperbola is (2,0) (c) the eccentricity of the hyperbola is sqrt(5/3) (d) the equation of the hyperbola is x^2-3y^2=3