Question
Question: For all complex number z<sub>1</sub>, z<sub>2</sub> satisfying \|z<sub>1</sub>\| = 12 and \|z<sub>2...
For all complex number z1, z2 satisfying |z1| = 12 and
|z2 – 3 – 4i| = 5, the minimum value of |z1 – z2| is
A
0
B
2
C
7
D
17
Answer
2
Explanation
Solution
Sol.
|z1| = 12 |z2 – (3 +4i)| =5|z1 – z2|min AB
= 12 – (2 × 5)
= 12 – 10
= 2