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If |z|=1, then the point representing th...

If `|z|=1,` then the point representing the complex number `-1+3z` will lie on a. a circle b. a parabola c.`` a straight line d. a hyperbola

A

a circle

B

a straight line

C

a parabola

D

a hyperbola

Text Solution

Verified by Experts

The correct Answer is:
A
`|z|=1," let "alpha=-1+3z`
`rArr alpha +1=3z`
`rArr |alpha+1|=3|z|=3`
Hence, `alpha` lies on a circle centered at `-1` and radius equal to 3.
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