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JEE MATHEMATICS MCQ: COMPLEX NUMBERS

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Application +4 | -1
If 3+i2=a+ia−i\frac{\sqrt{3}+i}{2}=\frac{a+i}{a-i} and aa is a real number, then aa is
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Correct option: D
1/2−31 / 2-\sqrt{3}
Option D (1/2−31 / 2-\sqrt{3}) is the correct answer. By equating the given complex numbers and solving for 'a', we arrive at the solution after rationalizing the denominator.

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