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JEE MATHEMATICS MCQ: COMPLEX NUMBERS

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Application +4 | -1
If 32+cos⁡θ+isin⁡θ=a+ib\frac{3}{2+\cos \theta+i \sin \theta}=a+i b, then (a−2)2+b2(a-2)^2+b^2 is equal to
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Correct option: B
1
The value of (a−2)2+b2(a-2)^2 + b^2 is 1 because it is obtained by manipulating the given expression and using trigonometric identities.

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