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JEE MATHEMATICS MCQ: COMPLEX NUMBERS

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If ∣z1∣=∣z2∣=∣z3∣=1\left|z_1\right|=\left|z_2\right|=\left|z_3\right|=1 and z1+z2+z3=0z_1+z_2+z_3=0, then area of the triangle whose vertices are z1,z2,z3z_1, z_2, z_3 is
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Correct option: A
33/43 \sqrt{3} / 4
Option A (33/43 \sqrt{3} / 4) is correct because the given conditions imply that the vertices form an equilateral triangle with side 3\sqrt{3}, and thus the area is 33/43 \sqrt{3} / 4.

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