Consider a hyperbola with standard form

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

Problem

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

. Which inequality is always true for its semi-transverse axis

a

and the focal distance

c

? (a)

a=c

(b)

a>c

(c)

a<c

(d)

a\ge c