Question

Find the transformed equation of the hyperbola xy=4 when rotated 45 degrees

Answer 1

Answer with explanation:

The equation of hyperbola is :

   x y =4

having Horizontal Asymptote , y=0

and Vertical Asymptote, x=0.

Graph of original Rectangular Hyperbola and when rotated by 45 °

the Asymptote of Image hyperbola obtained by rotation of 45°will be two lines not passing through origin.

Answer 2

(x')² - (y')² = 8
this is your answer hope it helps