Find the correct relation among

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

Problem

a

b

and

c

for the standard hyperbola

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

. (a)

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

(b)

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

(c)

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

(d)

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