Answer
See the explanation
Work Step by Step
for k=-2,-1,1,2 you will get hyperbolas
for k=0 intersecting lines
Given
z= x^2-y^2
z=k=-2,-1,0,1,2
for k=-2
x^2-y^2 = -2
=>(x^2/-2 )-(y^2/-2)=1
for k=-1
x^2-y^2 = -1
=>(x^2/-1)-(y^2/-1)=1
for k=0
x^2-y^2 = 0
for k=-2
x^2-y^2 = 1
for k=-2
x^2-y^2 = 2
=>(x^2/2 )-(y^2/2)=1
