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Complex Numbers question

2012 · Shift 1 · Q22

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PYQ Library
JEE Advanced
Mathematics
Complex Numbers
2012 · Shift 1 · Q22

Complex Numbers question

2012 · Shift 1 · Q22

JEE AdvancedMathematicsComplex NumbersMCQ+4 / −1

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

A
- 1
B
${1 \over 3}$
C
${1 \over 2}$
D
${3 \over 4}$

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