Complex NumbersHard
Question
The curve represented by Re(z2) = 4 is
Options
A.a parabola
B.an ellipse
C.a circle
D.a rectangular hyperbola
Solution
Let z = x + iy
Re(z2) = x2 - y2
⇒ x2 - y2 = 4
This is the equation of rectangular hyperbola
Re(z2) = x2 - y2
⇒ x2 - y2 = 4
This is the equation of rectangular hyperbola
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