Let `e_1 and e_2` be the eccentricities of a hyperbola and its conjugate hyperbola

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 = `

hyperbola