If e and e1 are the eccentricities of the hyperbola xy = c^2 and x^2 – y^2 = c^2, then

Q: If e and e1 are the eccentricities of the hyperbola xy = c2 and x2 – y2 = c2, then e2 + e12 is equal to

(A) 1

(B) 4

(C) 6

(D) 8

Click to See Answer :
Ans: (B)
Sol: e = √2 , e1 = √2

⇒ e2 + e12 = 4.

Hence (B) is the correct answer.