If and are the eccentricities of the conic sections and

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

Problem

e_1

and

e_2

are the eccentricities of the conic sections

16x^2+9y^2=144

and

9x^2-16y^2=144

, respectively, then (1)

e_1^2-e_2^2=1

(2)

e_1^2+e_2^2<3

(3)

e_1^2+e_2^2=3

(4)

e_1^2+e_2^2>3