Question

The length of the transverse axis of the rectangular hyperbola xy=$8$is

• A. $8$
• B. $12$
• C. $18$
• D. $9$

Answer 1

Answer: (A)

$8$

Given that:

$xy=8$ comparing with $xy=c^2$, we get

$c^2=8$,

$\frac{a^2}{2}=8,$ [Since $c^2=\frac{a^2}{2}$]

$a^2=16$

$a=4.$

Hence, Length of the semi transverse axis $=2a=8unit$