JEE MATHEMATICS MCQ: COMPLEX NUMBERS

1 Easy

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Analyzing +4 | -1

(1+i)(1+2 i)(1+3 i) \ldots(1+n i)=\alpha+i \beta

, then

2 \cdot 5 \cdot 10 \ldots\left(1+n^2\right)

is equal to

View answer and explanation

Correct option: C

\alpha^2+\beta^2

Option C (

\alpha^2+\beta^2

) is correct because taking the modulus squared of both sides of the given equation leads to

2 \cdot 5 \cdot 10 \ldots (1+n^2) = \alpha^2 + \beta^2

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