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The complex numbers z1 z2 and z3 satisfy...

The complex numbers `z_1 z_2 and z3` satisfying `(z_1-z_3)/(z_2-z_3) =(1- i sqrt(3))/2` are the vertices of triangle which is (1) of area zero (2) right angled isosceles(3) equilateral (4) obtuse angled isosceles

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`(z_1-z_3)/(z_2-z_3)=1/2-isqrt3/2`
`(z_1-z_2)/(z_2-z_3)=e^(i(-pi/3))`
`z_1-z_3=(z_2-z_3)e^(i(-pi/3))`
`|z_1z_3|=|z_2-z_3|`
option 3 is correct.
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