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

If z is a complex number satisfying Rez+Imz=4, then z cannot be
  1. 172
  2. 10
  3. 7
  4. 8

Solution

Let z=x+iy
i.e. x+y=4


Using perpendicular distance of line from origin, minimum value of z=22
Maximum value of z=4
So, z can’t be 7

Asked in: JEE Main 2020 (09 Jan Shift 2)

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