Complex Numbers And Quadratic Equations question 364
Question: $ R(z^{2})=1 $ is represented by
Options:
A) The parabola $ x^{2}+y^{2}=1 $
B) The hyperbola $ x^{2}-y^{2}=1 $
C) Parabola or a circle
D) All the above
Show Answer
Answer:
Correct Answer: B
Solution:
$ z=(x+iy) $
Þ $ z^{2}=x^{2}-y^{2}+2ixy $
Þ $ Re(z^{2})=1 $
Þ $ x^{2}-y^{2}=1 $ , which is a hyperbola.
BETA
