jee-main 2021 Q63

jee-main · India · session4_31aug_shift2 Complex Numbers Argand & Loci Distance and Region Optimization on Loci
If $z$ is a complex number such that $\frac { z - i } { z - 1 }$ is purely imaginary, then the minimum value of $| z - ( 3 + 3i ) |$ is :
(1) $3 \sqrt { 2 }$
(2) $2 \sqrt { 2 }$
(3) $2 \sqrt { 2 } - 1$
(4) $6 \sqrt { 2 }$
If $z$ is a complex number such that $\frac { z - i } { z - 1 }$ is purely imaginary, then the minimum value of $| z - ( 3 + 3i ) |$ is :\\
(1) $3 \sqrt { 2 }$\\
(2) $2 \sqrt { 2 }$\\
(3) $2 \sqrt { 2 } - 1$\\
(4) $6 \sqrt { 2 }$