Question

Which of the followings is/are true for a rectangular hyperbola
$xy=36$

• A. Length of conjugate axis is $16.92$
• B. Length of conjugate axis is $8.41$
• C. Length of transverse axis is $8.41$
• D. Length of transverse axis is $16.92$

Answer 1

Answer: (A), (D)

Length of transverse axis is $16.92$

Given, $xy=36\Rightarrow c=6$
For a rectangular hyperbola $xy=36$,

• Length of transverse axis $=2\sqrt{2}c$
• Length of transverse axis = Length of conjugate axis

Length of transverse axis $=2\sqrt{2}\times 6=\mathrm{16.92.}$
Length of conjugate axis $=\mathrm{16.92.}$