An ellipse has its vertices at and co-vertices at

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

Problem

An ellipse has its vertices at

(0,\,\pm7)

and co-vertices at

(\pm4,\,0)

. Which of the following is its standard equation? (a)

\dfrac{x^{2}}{49}+\dfrac{y^{2}}{16}=1

(b)

\dfrac{x^{2}}{4}+\dfrac{y^{2}}{7}=1

(c)

\dfrac{x^{2}}{16}+\dfrac{y^{2}}{49}=1

(d)

\dfrac{x^{2}}{64}+\dfrac{y^{2}}{196}=1