Ellipse is given by and ellipse by

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

Problem

Ellipse

E_{1}

is given by

\dfrac{x^{2}}{36}+\dfrac{y^{2}}{16}=1

and ellipse

E_{2}

\dfrac{x^{2}}{25}+\dfrac{y^{2}}{9}=1

. The ratio of the lengths of their latus recta

\,(E_{1}:E_{2})\,

is: (a)

27:40

(b)

27:25

(c)

40:27

(d)

4:3