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Complex Numbers question

2020 · 3 Sep · Shift 1 · Q37

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PYQ Library
JEE Main
Mathematics
Complex Numbers
2020 · 3 Sep · Shift 1 · Q37

Complex Numbers question

2020 · 3 Sep · Shift 1 · Q37

JEE MainMathematicsComplex NumbersNumerical+4 / −1

If

{\left( {{{1 + i} \over {1 - i}}} \right)^{{m \over 2}}} = {\left( {{{1 + i} \over {1 - i}}} \right)^{{n \over 3}}} = 1

, (m, n

\in

N) then the greatest common divisor of the least values of m and n is

\underline{\hspace{2cm}}

.

Numerical answer

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