Let (E_ 1 : x^ 2 64 + y^ 2 49 =1 ) and (E_ 2 : x^ 2 81 + y^ 2 64 =1 )

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

Problem

Let

E_{1}:\dfrac{x^{2}}{64}+\dfrac{y^{2}}{49}=1

and

E_{2}:\dfrac{x^{2}}{81}+\dfrac{y^{2}}{64}=1

. Which statement about their eccentricities

e_{1}

and

e_{2}

is correct? (a)

e_{1}=e_{2}

(b)

e_{1}>e_{2}

(c)

e_{1}<e_{2}

(d) Both have

e>1