JEE MATHEMATICS MCQ: COMPLEX NUMBERS

1 Easy

1 of 1

Analyzing +4 | -1

\alpha(\neq 1)

is a fifth root of unity and

\beta(\neq 1)

is a fourth root of unity then

z=(1+\alpha)(1+\beta)\left(1+\alpha^2\right)\left(1+\beta^2\right)\left(1+\alpha^3\right)\left(1+\beta^3\right)

equals

View answer and explanation

Correct option: D

Option D (0) is correct because the expression (1+

\beta

)(1+

\beta^2

) equals zero since

\beta

is a fourth root of unity (

\neq

1).

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