Question
Question: If z<sub>1</sub>, z<sub>2</sub>, z<sub>3</sub> are three complex numbers satisfying equations \|z + ...
If z1, z2, z3 are three complex numbers satisfying equations |z + 1 | £ 1, |z + 2| £ 2 and |z + 4| £ 4 respectively then the maximum value of |z1| + |z2| + |z3| is
A
7
B
10
C
12
D
14
Answer
14
Explanation
Solution
Sol. |z + a| £ a Ž z lies on or inside circle with centre (– a, 0) & radius a
So |z1| + |z2| + |z3| £ 14