JEE MATHEMATICS MCQ: COMPLEX NUMBERS

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Application +4 | -1

p, q

and

r

are positive integers and

\omega

is an imaginary cube root of unity and

f(x)=x^{3 p}+x^{3 q+1}+x^{3 r+2}

, then

f(\omega)

is equal to

View answer and explanation

Correct option: C

Option A (0) is correct because when ω is substituted into the function, the terms simplify to 1 + ω + ω^2, which equals 0.

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