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BITSAT2011MathematicsComplex NumberActual

If (a > 0, a R, z=a+2 i ) and (z|z|-a z+1=0 ) then

Options

  1. A(z ) is always a positive real number
  2. B(z ) is always a negative real number
  3. C(z ) is purely imaginary number
  4. Dsuch a complex z does not exist

Correct answer

D. such a complex z does not exist

Step-by-step solution

Putting (z=a+2 i ) in the given equation and comparing imaginary parts, we get ( a ^2+4= a ^2 ), which is not possible.

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