The questions says :

A , M and N are three distinct points of respective affixes i , z1 and z3.

If z2 = iz1 + 1 + i ,

then, triangle AMN is :

a)equilateral .

b)semi-equilateral

or

c)right isosceles.

I think the key word is DISTINCT . I know that two points to be distinct z must be different from z(bar) or its conjugate.

Any help will be greatly appreciated.

Thank You