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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103

153

answer is C.

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Detailed Solution

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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