jee-main 2014 Q62

jee-main · India · 19apr Complex Numbers Arithmetic Systems of Equations via Real and Imaginary Part Matching

For all complex numbers $z$ of the form $1 + i \alpha , \alpha \in R$, if $z ^ { 2 } = x + i y$, then
(1) $y ^ { 2 } - 4 x + 4 = 0$
(2) $y ^ { 2 } + 4 x - 4 = 0$
(3) $y ^ { 2 } - 4 x + 2 = 0$
(4) $y ^ { 2 } + 4 x + 2 = 0$

For all complex numbers $z$ of the form $1 + i \alpha , \alpha \in R$, if $z ^ { 2 } = x + i y$, then\\
(1) $y ^ { 2 } - 4 x + 4 = 0$\\
(2) $y ^ { 2 } + 4 x - 4 = 0$\\
(3) $y ^ { 2 } - 4 x + 2 = 0$\\
(4) $y ^ { 2 } + 4 x + 2 = 0$

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