CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon


Question

If z1,z2,z3 are imaginary numbers such that |z1|=|z2|=|z3|=1z1+1z2+1z3=1 then |z1+z2+z3| is
  1. equal to 1
  2. less than 1
  3. greater than 1
  4. equal to 3


Solution

The correct option is A equal to 1
|z|=1z¯z=1¯z=1z|z1+z2+z3|=|(¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯z1+z2+z3)|=1z1+1z2+1z3=1

flag
 Suggest corrections
thumbs-up
 
0 Upvotes


Similar questions
QuestionImage
QuestionImage
View More...



footer-image