jee-main 2026 Q24

jee-main · India · session1_28jan_shift2 Complex Numbers Argand & Loci Distance and Region Optimization on Loci
Let $A = \{ Z \in C : | Z - 2 | \leq 4 \}$ and $B = \{ Z \in C : | Z - 2 | + | Z + 2 | \leq 4 \}$ then $\boldsymbol { \operatorname { m a x } } \left\{ \mathrm { Z } _ { 1 } - \mathrm { Z } _ { 2 } \right\} : \mathrm { Z } _ { 1 } \in \mathrm {~A} \text { and } \mathrm { Z } _ { 2 } \in \mathrm {~B} \text { is equal to }$ (A) 8 (B) 6 (C) 4
Let $A = \{ Z \in C : | Z - 2 | \leq 4 \}$ and $B = \{ Z \in C : | Z - 2 | + | Z + 2 | \leq 4 \}$ then $\boldsymbol { \operatorname { m a x } } \left\{ \mathrm { Z } _ { 1 } - \mathrm { Z } _ { 2 } \right\} : \mathrm { Z } _ { 1 } \in \mathrm {~A} \text { and } \mathrm { Z } _ { 2 } \in \mathrm {~B} \text { is equal to }$
(A) 8
(B) 6
(C) 4