Mathematics

Problem

For the hyperbola whose standard equation is

\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}

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

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

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