Complex NumbersMedium
Question
The set of points on the complex plane such that z2 + z + 1 is real and positive (where z = x + iy, x, y ∈ R ) is -
Options
A.Complete real axis only
B.Complete real axis or all points on the line 2x + 1 = 0
C.Complete real axis or a line segment joining points 
excluding both.
excluding both.D.Complete real axis or set of points lying inside the rectangle formed by the lines.
2x + 1 = 0 ; 2x - 1 = 0 ; 2y - √3 = 0 & 2y + √3 = 0
2x + 1 = 0 ; 2x - 1 = 0 ; 2y - √3 = 0 & 2y + √3 = 0
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