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Complex Numbers question

2021 · 31 Aug · Shift 1 · Q38

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JEE Main
Mathematics
Complex Numbers
2021 · 31 Aug · Shift 1 · Q38

Complex Numbers question

2021 · 31 Aug · Shift 1 · Q38

JEE MainMathematicsComplex NumbersNumerical+4 / −1

A point z moves in the complex plane such that

\arg \left( {{{z - 2} \over {z + 2}}} \right) = {\pi \over 4}

, then the minimum value of

{\left| {z - 9\sqrt 2 - 2i} \right|^2}

is equal to

\underline{\hspace{2cm}}

.

Numerical answer

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