For the hyperbola ( x^ 2 a^ 2 - y^ 2 b^ 2 =1 )

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

Problem

For the hyperbola

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

, which of the following relations between

a,\,b,\,c

is correct? (a)

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

(b)

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

(c)

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

(d)

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