If `e` be the eccentricity of ellipse `3x2 + 2xy +3y^2=1` then `8e^2` is

If e_1 is the eccentricity of the ellipse x^2/16+y^2/25=1 and e_2 is the eccentricity of the hyperbola passing through the foci of the ellipse and e_1 e_2=1 , then equation of the hyperbola is

If e_1 is the eccentricity of the ellipse x^2/16+y^2/25=1 and e_2 is the eccentricity of the hyperbola passing through the foci of the ellipse and e_1 e_2=1 , then equation of the hyperbola is

If e_1 is the eccentricity of the ellipse x^2/16+y^2/7=1 and e_2 is the eccentricity of the hyperbola x^2/9-y^2/7=1 then e_1+e_2 is equal to a) 16/7 b) 25/4 c) 25/12 d) 16/9

If e_(1) is the eccentricity of the ellipse x^(2)/16+y^(2)/25=1 and e_(2) is the eccentricity of a hyperbola passing through the foci of the given ellipse and e_(1)e_(2)=1 , then the equation of such a hyperbola among the following is

If e_1 is eccentricity of the ellipse x^2/16+y^2/7=1 and e_2 is eccentricity of the hyperbola x^2/9-y^2/7=1 , then e_1+e_2 is equal to:

If e be the eccentricity of the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2)) = 1 , then e =

Let x+2=0 is a tangent to an ellipse whose foci are (1,3) and (4,7) .If e is the eccentricity of the ellipse then e^(2)+(266)/(97) is equal to