The length of the major axis of an ellipse is and its eccentricity is

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

Problem

The length of the major axis of an ellipse is

10

and its eccentricity is

0.6

. The centre is at the origin and the major axis is along the

x

-axis. Identify the correct standard equation of the ellipse. (a)

\dfrac{x^{2}}{16}+\dfrac{y^{2}}{25}=1

(b)

\dfrac{x^{2}}{25}+\dfrac{y^{2}}{16}=1

(c)

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

(d)

\dfrac{x^{2}}{34}+\dfrac{y^{2}}{16}=1