Question
Question: The curve represented by Re (z<sup>2</sup>) = 4 is...
The curve represented by Re (z2) = 4 is
A
A parabola
B
An ellipse
C
A circle
D
A rectangular hyperbola
Answer
A rectangular hyperbola
Explanation
Solution
Sol. We have Im (Z2) = 4
Im[(x2 – y2) + 2ixy] = 4 (putting Z = x + iy)
2xy = 4 or xy = 2 which is a rectangular hyperbola