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JEE MATHEMATICS MCQ: COMPLEX NUMBERS

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Analyzing +4 | -1
Let zz be a complex number such that the imaginary part of zz is non-zero and a=z2+z+1a=z^2+z+1 is real. Then, aa cannot take the value
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Correct option: D
34\frac{3}{4}
Option D (34\frac{3}{4}) is correct because if a=34a = \frac{3}{4}, then z would be real, contradicting the condition that the imaginary part of z is non-zero.

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