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JEE MATHEMATICS MCQ: COMPLEX NUMBERS

1 Easy
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Application +4 | -1
If z=r(cos⁡θ+isin⁡θ)z = r(\cos \theta + i\sin \theta ), then the value of zzˉ+zˉz\frac{z}{{\bar z}} + \frac{{\bar z}}{z} is
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Correct option: B
2cos⁡2θ2\cos 2\theta
Option B (2cos⁡2θ2\cos 2\theta) is correct because it is the simplified form of the given expression after substituting z=r(cos⁡θ+isin⁡θ)z = r(\cos \theta + i\sin \theta ) and using Euler's formula.

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