Question

Define Rectangular Hyperbola and find its eccentricity

• A. $1$
• B. $\sqrt{2}$
• C. $2$
• D. $\infty$

Answer 1

The correct option is B $\sqrt{2}$

If length of both transverse and conjugate axes of a hyperbola are same, then it is called rectangular hyperbola

$\Rightarrow 2a=2b\Rightarrow a=b$

Thus eccentricity $=\sqrt{1+\frac{b^2}{a^2}}=\sqrt{1+1}=\sqrt{2}$