For the hyperbola whose standard equation is

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

Problem

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

, which one of the following relations between

a,\,b

and

c

is correct? (a)

c^{2}=b^{2}-a^{2}

(b)

c^{2}=a^{2}+b^{2}

(c)

c^{2}=a^{2}-b^{2}

(d)

c^{2}=(a+b)^{2}