# suppose z1,z2,z3 are the vertices of an equilateral triangle inscribing the circle mod z=1. If z1=1+root3i,find z2 and z3

Dear Student!

We assume that your equation of circle is Mod(z) =2

Beacuse mod z =1 represent a circle with center (0,0) and radious 1

And the distance between (0,0) and z1 become 2 which is grater then 1.

Ans:

represents a circle with centre (0, 0) and radius = 2.

*z*_{1}, *z*_{2} and *z*_{3} are the vertices of an equilateral triangle inscribed in the given circle.

Given,

Thus,

Cheers!

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