InterviewSolution
Saved Bookmarks
InterviewSolution
| 1. |
The equation `|z-i|=|z-1|,i= sqrt(-1)`representsA. a circule of radius `1/2`B. the line passing through the origin with slope 1C. a cicle of radius 1D. the line passing the origin with slope-1 |
|
Answer» Correct Answer - B Let the complex nuber z = x+ iy Also given |z-i|=|z-1| `rArr | x+iy -I |=|x+ iy -1|` `rArr sqrt(x^2+(y-1)^2=sqrt((x-1)^2+y^2)` `[therefore|z| = sqrt((Re(z))^2+Im(z)^2)]` On squaring both sides , we get `x^2+y^2-2y+1=x^2+y^22x+1` `rArr y= x` which of the represents a line through the origin with slope 1. |
|