CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon


Question

The complex number z which satisfies the condition i+ziz=1 lies on


  1. circle x2+y2=1

  2. the x-axis

  3. the y-axis

  4. the line x + y =1


Solution

The correct option is A

circle x2+y2=1


Given that, i+ziz=1

Let z = x + iy

 x+i(y+1)x(y1)=1 x2+(y+1)2x2+(y1)2=1 x2+(y+1)2=x2+(y1)2 4y=0 y=0

So, z lies on X-axis (real axis).

flag
 Suggest corrections
thumbs-up
 
0 Upvotes


Similar questions
QuestionImage
QuestionImage
View More...


People also searched for
QuestionImage
QuestionImage
View More...



footer-image