Complex NumbersHard

Question

The points z1 = 3 + √3  i and z2 = 2 √3 + 6 i are given on a complex plane. The complex number lying on the bisector of the angle formed by the vectors z1 and z2 is :

Options

A.z = i
B.z = 5 + 5 i
C. z = - 1 - i
D.none

Solution

Equation of angle bisector =

= l′[1 + i]

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