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VIBHOR GAUR Grade: 12
        


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


 


A. circle  B. straightline  c.parabola D. hyperbola


6 years ago

Answers : (2)

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

6 years ago
vikas askiitian expert
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


 


 

6 years ago
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