Question

The length of the semi transverse axis of the rectangular hyperbola $xy=32$ is

• A. $32$
• B. $16$
• C. $64$
• D. $8$

Answer 1

The correct option is D $8$

If rectangular hyperbola is $xy=\frac{c^2}{2}$

Then length of semi transverse axis is $c$

Here $\frac{c^2}{2}=32$

$\Rightarrow c^2=64$

$\Rightarrow c=8$