Discussion Forum



1)

 If the rectangular hyperbola x2-y2 =64  , Then which of the following is not correct?


A) The length of latus rectum is 16

B) The eccentricity is $\sqrt{2}$

C) The asymptotesare parallel to each other

D) The directrices are x= $\pm4\sqrt{2}$

Answer:

Option D

Explanation:

Given equation of rectangular hyperbola is x2-y2=82

Length of latusrectum= 2 x(8)=16

 and eccentricity = $\sqrt{2}$

 The asymptotes are perpendicular lines.

 x $\pm$ y=0

 Now, directrices are  $x=\pm\frac{8}{\sqrt{2}}=\pm4\sqrt{2}$