Maths-
General
Easy
Question
If z = x + iy, and then ½w½ = 1 implies that in the complex plane
- z lies on the imaginary axis
- z lies on the real axis
- z lies on the unit circle
- None of these.
The correct answer is: z lies on the real axis
As |w| = 1 Þ | z – i| = |1 – iz| = |z + i| ( as 1/i = –i)
Þ z lies on the right bisector of the line segment connecting the points i and –i.
Thus ‘z’ lies on the real axis.
Hence (b) is correct answer.
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GeneralGeneral
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