Let be a complex number such that the imaginary part of is non-zero and is real

MATHEMATICS · Single correct · CBSE · Mathematics · Complex Numbers and Quadratic Equations · Complex Numbers and Quadratic Equations

Problem

Let

z

be a complex number such that the imaginary part of

z

is non-zero and

a = z^2 + z + 1

is real. Then,

a

cannot take the value (1) -1 (2)

\frac{1}{3}

(3)

\frac{1}{2}

(4)

\frac{3}{4}