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Suppose $z_{1}, z_{2}, z_{3}$ are vertices of an equi-lateral triangle whose circumcentre $- 3 + 4 i,$ then $∣ z_{1} + z_{2} +$ $z_{3} ∣$ is equal to

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detailed solution

Correct option is C

As triangle is equilateral, circumcentre and centroid of the triangle coincides, therefore,13z1+z2+z3=−3+4i⇒ z1+z2+z3=3(−3)3+42=15

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Suppose z1,z2,z3 are vertices of an equi-lateral triangle whose circumcentre −3+4i,then ∣z1+z2+z3∣ is equal to

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Suppose $z_{1}, z_{2}, z_{3}$ are vertices of an equi-lateral triangle whose circumcentre $- 3 + 4 i,$ then $∣ z_{1} + z_{2} +$ $z_{3} ∣$ is equal to