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MHT CET20226 Aug 2022Evening ShiftMathematicsComplex NumberActual

Let z be a complex number such that |z|+z=3+i, i= -1 , then |z| is equal to

Options

  1. A5 4
  2. B41 4
  3. C34 3
  4. D5 3

Correct answer

D. 5 3

Step-by-step solution

aligned & |z|+z=3+i & x^2+y^2 +x+i y=3+i[ let z=x+i y] & x^2+y^2 +x=3 and y=1 & x^2+1^2 +x=3 & x^2+1=(3-x)^2 & x= 4 3 & |z|= x^2+y^2 = ( 4 3 )^2+1^2 = 5 3 aligned

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