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
Create a free account to view solution
View Solution FreeMore Complex Numbers Questions
The system of equations , where z is a complex number has :...In G.P. the first term & common ratio are both (√3 + i), then the absolute value of its nth term is :...The amplitude of sin is-...If z = − 3 + 2i, then 1/z is equal to-...The inequality | z - 4 | < | z - 2 | represents the following region -...