If ω (≠ 1) is a cube root of unity, and (1 + ω)⁷ = A + Bω. Then (A,B) equals:

Complex Numbers and Quadratic Equations: JEE Main 2011 Mathematics question

JEE Main 2011 · Annual, Paper 1 · Q3232

JEE Main 2011Annual, Paper 1MathematicsEasyComplex Numbers and Quadratic Equations264× since 2002

\omega ( \ne 1)

is a cube root of unity, and

{(1 + \omega )^7} = A + B\omega \,

. Then

(A,B)

equals :

JEE Main 2011 · Annual, Paper 1 · Q3232

JEE Main 2011Annual, Paper 1MathematicsEasyComplex Numbers and Quadratic Equations264× since 2002

\omega ( \ne 1)

is a cube root of unity, and

{(1 + \omega )^7} = A + B\omega \,

. Then

(A,B)

equals :