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JEE MATHEMATICS MCQ: COMPLEX NUMBERS

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Application +4 | -1
If (a1+ib1)(a2+ib2)⋯(an+ibn)=A+iB\left(a_1+i b_1\right)\left(a_2+i b_2\right) \cdots\left(a_n+i b_n\right)=A+i B, then (a12+b12)(a22+b22)⋯(an2+bn2)\left(a_1^2+b_1^2\right)\left(a_2^2+b_2^2\right) \cdots\left(a_n^2+b_n^2\right) is equal to
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Correct option: B
A2+B2A^2+B^2
Option B (A2+B2A^2+B^2) is correct because it represents the product of the magnitudes of the complex numbers.

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