jee-advanced 2002 Q2

jee-advanced · India · screening Complex Numbers Argand & Loci Modulus Computation
2. For all complex numbers $z _ { 1 } , z _ { 2 }$ satisfying $\left| z _ { 1 } \right| = 12$ and $\left| z _ { 2 } - 3 - 4 i \right| = 5$, the minimum value of $\left| z _ { 1 } - z _ { 2 } \right|$ is:
(A) 0
(B) 2
(C) 7
(D) 17
2. For all complex numbers $z _ { 1 } , z _ { 2 }$ satisfying $\left| z _ { 1 } \right| = 12$ and $\left| z _ { 2 } - 3 - 4 i \right| = 5$, the minimum value of $\left| z _ { 1 } - z _ { 2 } \right|$ is:\\
(A) 0\\
(B) 2\\
(C) 7\\
(D) 17\\