1.

If z = x + yi, omega = (2-iz)/(2z-i) and |omega|=1, find the locus of z in the complex plane

Answer»


ANSWER :`3X^(2) + 3y^(2)- 8y-3= 0`. This is a circle WHOSE centre is `(0, (4)/(3))` and radius is `(5)/(3)`


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