Complex NumbersMedium
Question
If z1, z2 and z3are complex number such that |z1| = |Z2| = |z3| = 
, then |z1 + z2 + z3| is
, then |z1 + z2 + z3| is Options
A.equal to 1
B.less than 1
C.greater than 3
D.equal to 3
Solution
If z1, z2 and z3are complex number such that |z1| = |Z2Given, |z1| = |Z2| = |z3|= 1
Now, |z1| = 1
⇒ |z1|2 = 1
⇒ z1
1 = 1
Similarly, z22 = 1, z33 = 1
Againb now,
⇒
⇒
⇒ |z1 + z2 + z3| = 1| = |z3| =, then |z1 + z2 + z3| is
Now, |z1| = 1
⇒ |z1|2 = 1
⇒ z1
1 = 1Similarly, z2
2 = 1, z33 = 1 Againb now,
⇒
⇒
⇒ |z1 + z2 + z3| = 1| = |z3| =
, then |z1 + z2 + z3| is Create a free account to view solution
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