The vertices of an ellipse are at and the co-vertices are at

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

Problem

The vertices of an ellipse are at

(\pm5,\,0)

and the co-vertices are at

(0,\,\pm3)

. Find its standard equation. (a)

\dfrac{x^{2}}{5}+\dfrac{y^{2}}{3}=1

(b)

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

(c)

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

(d)

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