If `e and e\'` are the eccentricities of the hyperbola `x^2/a^2 - y^2/b^2 = 1` and its conjugate hyperbola, prove that `1/e^2 + 1+e\'^2 = 1`

If e and e' are the eccentricities of the hyperbola x^(2)/a^(2)-y^(2)/b^(2)=1 and its conjugate hyperbola,the value of 1/e^(2)+1/e^prime2 is

If e_(1) and e_(2) are the eccentricities of a hyperbola 3x^(2)-2y^(2)=25 and its conjugate, then

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

Let e_1 and e_2 be the eccentricities of a hyperbola and its conjugate hyperbola respectively. Statement 1 : e_1 e_2 gt sqrt(2) . Statement 2 : 1/e^2_1 + 1/e^2_2 =