JEE MATHEMATICS MCQ: COMPLEX NUMBERS

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Application +4 | -1

If the points

\mathrm{A}(\mathrm{z}), \mathrm{B}(-\mathrm{z})

and

\mathrm{C}(\mathrm{z}-1)

form an equilateral triangle then value of

\mathrm{z}

View answer and explanation

Correct option: B

\frac{1 \pm \sqrt{3} i}{4}

Option B (

\frac{{1 \pm \sqrt{{3}} i}}{{4}}

) is correct because it is the solution for z when the points A(z), B(-z), and C(z-1) form an equilateral triangle.

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