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Complex Numbers question

2021 · 16 Mar · Shift 1 · Q42

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JEE Main
Mathematics
Complex Numbers
2021 · 16 Mar · Shift 1 · Q42

Complex Numbers question

2021 · 16 Mar · Shift 1 · Q42

JEE MainMathematicsComplex NumbersNumerical+4 / −1

Let z and

\omega

be two complex numbers such that

\omega = z\overline z - 2z + 2,\left| {{{z + i} \over {z - 3i}}} \right| = 1

and Re(

\omega

) has minimum value. Then, the minimum value of n

\in

N for which

\omega

n is real, is equal to

\underline{\hspace{2cm}}

.

Numerical answer

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