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 the equation of the hyperbola

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_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 e1 and e2 are the eccentricities of a hyperbola and its conjugates then ,

If e_(1) is the eccentricity of the ellipse (x^(2))/(25)+(y^(2))/9=1 and if e_(2) is the eccentricity of the hyperbola 9x^(2)-16y^(2)=144 , then e_(1)e_(2) is. . . . .

If e_(1) is the eccentricity of the ellipse (x^(2))/(16)+(y^(2))/(b^(2))=1 and e_(2) is the eccentricity of the hyperbola (x^(2))/(9)-(y^(2))/(b^(2))=1 and e_(1)e_(2)=1 then b^(2) is equal to