If is a cube root of unity and

MATHEMATICS · Single correct · CBSE · Mathematics · Complex Numbers and Quadratic Equations · Complex Numbers and Quadratic Equations

Problem

If ω≠1\omega\ne1 is a cube root of unity and (1+ω)7=a+bω(1+\omega)^7=a+b\omega, then (a,b)(a,b) equals (1) (1,1)(1,1) (2) (1,0)(1,0) (3) (−1,1)(-1,1) (4) (0,1)(0,1)

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