Complex NumbersHard

Question

The complex number z1, z2 and z3 satisfying are the vertices of a triangle which is

Options

A.of area zero
B.right - angled isosceles
C.equilateral
D.obtuse-angled isosceles

Solution

      



⇒      
⇒       and arg
Alternate Solution
∴        
⇒      
        
⇒       arg
and also
Therefore, triangle is equilateral

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