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JEE Main20209 Jan 2020Evening ShiftMathematicsComplex NumberActual

If z is a complex number satisfying R e z + I m z = 4 , then z cannot be

Options

  1. A17 2
  2. B10
  3. C7
  4. D8

Correct answer

C. 7

Step-by-step solution

Let z = x + i y i.e. x + y = 4 Using perpendicular distance of line from origin, minimum value of z = 2 2 Maximum value of z = 4 So, z can’t be 7

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