QJEEM11Ma5616: JEE Main 2011 Mathematics - Class 11 JEEM11Ma5616 Solution: If ω ( ≠ 1 ) is a cube root of unity, and ( 1 + ω ) 7 = A + B ω …

Question

Verified Solution • 2025–26 Session moderate

If

ω (\neq 1)

is a cube root of unity, and

(1 + ω)^{7} = A + B ω

. Then

(A, B)

equals :

Accepted Answer

{(1 + ω)}^{7} = A + B ω; {(- ω^{2})}^{7} = A + B ω

- ω^{2} = A + B ω; 1 + ω = A + B ω

\Rightarrow A = 1, B = 1.

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