For any hyperbola in standard form

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

Problem

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

, which of the following correctly describes its eccentricity

e

? (a)

0<e<1

(b)

e>1

(c)

e=1

(d)

e=\sqrt{1-\dfrac{b^{2}}{a^{2}}}