If z(k)=e^(itheta(k)) for k=1,2,3,4 wher...

If `z_(k)=e^(itheta_(k))` for `k=1,2,3,4` where `i^(2)=-1` and if `|Sigma_(k=1)^(4)(1)/(z_(k))|=1`, then `|Sigma_(k=1)^(4)z_(k)|` is equal to

A

a) 4

B

b) 1

C

c) 2

D

d) 3

Text Solution

Verified by Experts

The correct Answer is:

B

Promotional Banner

Promotional Banner

Recommended Questions

If z(k)=e^(itheta(k)) for k=1,2,3,4 where i^(2)=-1 and if |Sigma(k=1)^...
Text Solution
|
If the equation |z-z(1)|^(2)+|z-z(2)|^(2)=k represents the equation of...
Text Solution
|
If z(1) and z(2) are two complex numbers then prove that |z(1)-z(2)|^(...
Text Solution
|
Let z1z2, z3 zn be the complex numbers such that |z1|=|z2||zn|=1. If z...
Text Solution
|
If ||z-z1|-||z-z2||=k, where k<|z1-z2| represents a hyperbola in argan...
Text Solution
|
Let alpha^(k) where k=0,1,2,...,2013 are 2014^(th) roots of unity.If z...
Text Solution
|
If z(k)=cos((k pi)/(10))+i sin((k pi)/(10)), then z(1)z(2)z(3)z(4) is ...
Text Solution
|
If z(k)=e^(i theta) for k=1,2,3,4, where i^(2)=-1, and if |sum(k=1)^(4...
Text Solution
|
If k gt 1, |z(1)| lt k and |(k-z(1)barz(2))/(z(1)-kz(2))|=1, then
Text Solution
|