A point z moves in the complex plane such that arg ((z - 2)/(z + 2)) = (π)/4, then the minimum value of | z - 9 2 - 2i |² is equal to _ _ _ _ _ _ _ _.

Complex Numbers and Quadratic Equations: JEE Main 2021 Mathematics question

JEE Main 2021 · 31 Aug, Morning shift · Q26

JEE Main 202131 Aug, Morning shiftMathematicsMediumComplex Numbers and Quadratic Equations264× since 2002

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 _______________.

Your answerType your answer. Integers and decimals are accepted.

JEE Main 2021 · 31 Aug, Morning shift · Q26

JEE Main 202131 Aug, Morning shiftMathematicsMediumComplex Numbers and Quadratic Equations264× since 2002

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 _______________.

Your answerType your answer. Integers and decimals are accepted.