jee-main 2022 Q61

jee-main · India · session1_29jun_shift1 Complex Numbers Arithmetic Powers of i or Complex Number Integer Powers
Let $\alpha$ and $\beta$ be the roots of the equation $x ^ { 2 } + ( 2 i - 1 ) = 0$. Then, the value of $\left| \alpha ^ { 8 } + \beta ^ { 8 } \right|$ is equal to
(1) 50
(2) 250
(3) 1250
(4) 1550
Let $\alpha$ and $\beta$ be the roots of the equation $x ^ { 2 } + ( 2 i - 1 ) = 0$. Then, the value of $\left| \alpha ^ { 8 } + \beta ^ { 8 } \right|$ is equal to\\
(1) 50\\
(2) 250\\
(3) 1250\\
(4) 1550