If and are the eccentricities of the hyperbolas and

MATHEMATICS · Single correct · CBSE · Mathematics · Conic Sections · Conic Sections

Problem

e

and

e_1

are the eccentricities of the hyperbolas

xy=c^2

and

x^2-y^2=a^2

, respectively, then

(e+e_1)^2

is equal to (1) 2 (2) 4 (3) 6 (4) 8