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JEE MATHEMATICS MCQ: COMPLEX NUMBERS

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Analyzing +4 | -1
Suppose a∈Ra \in \mathbf{R} and the equation z+a∣z∣+z+a|z|+ 2i=02 i=0 has no solution in C\mathbf{C}, then aa satisfies the relation.
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Correct option: B
∣a∣≥1|a| \geq 1
Option B (∣a∣≥1|a| \geq 1) is correct because the equation has no solution when the coefficient of |z|^2 is non-positive, which occurs when ∣a∣≥1|a| \geq 1.

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