If e and e1 are the eccentricities of the hyperbolas xy = c2 and x2 - y2 = c2, then e2 + e1 2 is equal to

Question

If e and e1 are the eccentricities of the hyperbolas xy = c2 and x2 - y2 = c2, then e2 + e1 2 is equal to (A) 1 (B) 4 (C) 6 (D) 8

Tardigrade Admin · Accepted Answer

e=√2, e1 = √2 ∴ e2+e12 = 2+2=4

Q. If $e$ and $e_{1}$ are the eccentricities of the hyperbolas $x y = c^{2}$ and $x^{2} - y^{2} = c^{2},$ then $e^{2} + e_{1}^{2}$ is equal to