The standard ellipse has semi-axes and

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

Problem

The standard ellipse

\dfrac{x^{2}}{a^{2}}+\dfrac{y^{2}}{b^{2}}=1

has semi-axes

a

and

b

. Which one of the following gives the length of its latus rectum? (a)

\dfrac{2b^{2}}{a}

(b)

\dfrac{b^{2}}{a}

(c)

\dfrac{2a^{2}}{b}

(d)

2b