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Complex Numbers question

2022 · 28 Jul · Shift 2 · Q37

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PYQ Library
JEE Main
Mathematics
Complex Numbers
2022 · 28 Jul · Shift 2 · Q37

Complex Numbers question

2022 · 28 Jul · Shift 2 · Q37

JEE MainMathematicsComplex NumbersNumerical+4 / −1

Let

\mathrm{z}=a+i b, b eq 0

be complex numbers satisfying

z^{2}=\bar{z} \cdot 2^{1-z}

. Then the least value of

n \in N

, such that

z^{n}=(z+1)^{n}

, is equal to

\underline{\hspace{2cm}}

.

Numerical answer

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