An ellipse and a hyperbola are confocal (have the same focus) and the conjugate axis of the hyperbola is equal to the minor axis of the ellipse. If `e_1a n de_2` are the eccentricities of the ellipse and the hyperbola, respectively, then prove that `1/(e1 2)+1/(e2 2)=2` .

An ellipse and a hyperbola are confocal (have the same focus) and the conjugate axis of the hyperbola is equal to the minor axis of the ellipse.If e_(1) and e_(2) are the eccentricities of the ellipse and the hyperbola,respectively, then prove that (1)/(e_(1)^(2))+(1)/(e_(2)^(2))=2

If e and e' are the eccentricities of a hyperbola and its conjugate hyperbola respectively then prove that 1/e^2+1/(e')^2=1

e_(1) and e_(2) are eccentricities of hyperbola and conjugate hyperbola respectively then prove that (1)/(e_(1)^(2))+(1)/(e_(2)^(2))=1.

If e_(1) , e_(2) " and " e_(3) the eccentricities of a parabola , and ellipse and a hyperbola respectively , then

If e_1 and e_2 are the eccentricities of a hyperbola and its conjugate then prove that (1)/(e_1^2)+(1)/(e_2^2)=1 .

If e_(1) and e_(2) are the eccentricities of the hyperbola and its conjugate hyperbola respectively then (1)/(e_(1)^(2))+(1)/(e_(2)^(2)) is equal to

If e_1, e_2 , are the eccentricities of a hyperbola, its conjugate hyperbola, prove that (1)/(e_1^2)+(1)/(e_2^2)=1 .

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

If ea n de ' the eccentricities of a hyperbola and its conjugate, prove that 1/(e^2)+1/(e '^2)=1.