jee-main 2020 Q53

jee-main · India · session1_09jan_shift2 Complex Numbers Argand & Loci Distance and Region Optimization on Loci
If $z$ is a complex number satisfying $| \operatorname { Re } ( z ) | + | \operatorname { Im } ( z ) | = 4$, then $| z |$ cannot be
(1) $\sqrt { \frac { 17 } { 2 } }$
(2) $\sqrt { 10 }$
(3) $\sqrt { 7 }$
(4) $\sqrt { 8 }$
If $z$ is a complex number satisfying $| \operatorname { Re } ( z ) | + | \operatorname { Im } ( z ) | = 4$, then $| z |$ cannot be\\
(1) $\sqrt { \frac { 17 } { 2 } }$\\
(2) $\sqrt { 10 }$\\
(3) $\sqrt { 7 }$\\
(4) $\sqrt { 8 }$