jee-main 2024 Q62

jee-main · India · session2_09apr_shift2 Complex Numbers Argand & Loci Distance and Region Optimization on Loci
Let $z$ be a complex number such that the real part of $\frac { z - 2 i } { z + 2 i }$ is zero. Then, the maximum value of $| z - ( 6 + 8 i ) |$ is equal to
(1) 12
(2) 10
(3) 8
(4) $\infty$
Let $z$ be a complex number such that the real part of $\frac { z - 2 i } { z + 2 i }$ is zero. Then, the maximum value of $| z - ( 6 + 8 i ) |$ is equal to\\
(1) 12\\
(2) 10\\
(3) 8\\
(4) $\infty$