Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • NCERT
  • 11. Solve that equation |z| = z + 1 + 2i.

Solve that equation |z| = z + 1 + 2i.

Answers (1)

|z| = z + 1 + 2i

Substituting \: \: z=x+iy \: \: we \: \: get \: \: |x+iy|=x+iy+1+2i

|z|= \sqrt{(x^2+y^2 )} =(x+1)+i(y+2)

Comparing real and imaginary parts  \sqrt{(x^2+y^2 )} =(x+1)

And    0=y+2 , y=-2

Substituting the value of y in \sqrt{(x^2+y^2 )} =(x+1)

x^2+(-2)^2=(x+1)^2

x^2+4=x^2+2x+1

  Hence, x=\frac{3}{2}

Hence, z=x+iy 

=\frac{3}{2} -2i

 

Posted by

infoexpert21

View full answer

Similar Questions

Latest Question