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Question

z1z+1=1 represents
  1. an ellipse
  2. a straight line
  3. a circle
  4. None of these

A
a circle
B
a straight line
C
None of these
D
an ellipse
Solution
Verified by Toppr

z1z+1=1
|z1|=|z+1|
|x1+iy|=|x+1+iy|
x22x+1+y2=x2+2x+1+y2
x22x+1+y2=x2+2x+1+y2
x=0, which represents a straight line!

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