jee-main 2024 Q62

jee-main · India · session1_01feb_shift2 Complex Numbers Argand & Loci Distance and Region Optimization on Loci
If $z$ is a complex number such that $|z| \leq 1$, then the minimum value of $\left|z + \frac{1}{2}(3 + 4i)\right|$ is:
(1) 2
(2) $\frac{5}{2}$
(3) $\frac{3}{2}$
(4) 3
If $z$ is a complex number such that $|z| \leq 1$, then the minimum value of $\left|z + \frac{1}{2}(3 + 4i)\right|$ is:\\
(1) 2\\
(2) $\frac{5}{2}$\\
(3) $\frac{3}{2}$\\
(4) 3