Find the curve xy = - 1 and rotate 45 ° anticlockwise around the origin

Find the curve xy = - 1 and rotate 45 ° anticlockwise around the origin

It is equivalent to rotating the coordinate axis 45 ° clockwise
After rotation, the intersection point is (1,0) (- 1,0) a = 1
Asymptote 45 ° B = a = 1
C = root 2
Formula x ^ 2-y ^ 2 = 1