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JEE MATHEMATICS MCQ: COMPLEX NUMBERS

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Application +4 | -1
If the points A(z),B(−z)A(z), B(-z) and C(1−z)C(1-z) are the vertices of an equilateral triangle, then value of zz is
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Correct option: C
14(1±3i)\frac{1}{4}(1 \pm \sqrt{3} i)
Option C (14(1±3i)\frac{1}{4}(1 \pm \sqrt{3} i)) is correct because it satisfies the condition for the points to form an equilateral triangle.

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