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```
If |z| = 1, then the point representing the  complex number - 1 + 3z will lie on

A. circle  B.  straightline  c.parabola D. hyperbola
```
7 years ago

Chetan Mandayam Nayakar
312 Points
```										3z represents the circle of radius 3 units centered at the origin.  -1+3z, is the previous circle shifted along the negative real axis by one unit. So the answer is A. circle
```
7 years ago
510 Points
```										let Z=x1+iy1
mod(z)=1
(x1)^2 + (y1)^2 =1   .............eq1
now Z2 =3Z-1        (GIVEN)
Z2= (3x1-1) + i3y1
X+IY =3x1 -1 + i3y1
X=3x1-1......eq2         and     Y=3y1.....eq3
from eq 1 and 3
Y^2/9 = 1 - (x1)^2.....eq4
from eq 2 and 4
Y^2/9 + (X+1)^2 /9 =1  equation of circle

```
7 years ago
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