JEE MATHEMATICS MCQ: COMPLEX NUMBERS

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Application +4 | -1

\left( {{a_1} + i\;{b_1}} \right)\left( {{a_2} + i\;{b_2}} \right) \ldots \left( {{a_n} + i\;{b_n}} \right) = A + i\;B,

then

\left( {a_1^2 + b_1^2} \right)\left( {a_2^2 + b_2^2} \right) \ldots \left( {a_n^2 + b_n^2} \right)

is equal to

View answer and explanation

Correct option: B

{A^2} + {B^2}

Option B (

{A^2} + {B^2}

) is correct because the magnitude of the product of complex numbers is the product of their magnitudes.

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