Question

Which one is true regarding rectangular hyperbola?

• A. Asymptotes of rectangular conjugate hyperbola and rectangular hyperbola is only $x=0$
• B. Rectangular conjugate hyperbola lies in second and fourth quadrant.
• C. Rectangular conjugate hyperbola lies in first and third quadrant.
• D. Asymptotes of rectangular conjugate hyperbola and rectangular hyperbola is $xy=0$

Answer 1

Answer: (B), (D)

Asymptotes of rectangular conjugate hyperbola and rectangular hyperbola is $xy=0$

$\to$Rectangular conjugate hyperbola lies in second and fourth quadrant.
$\to$ Asymptotes of rectangular conjugate hyperbola and rectangular hyperbola is $x=0\text{and}y=0,\text{or}xy=0$