1.

If `omega(!=1)`is a cube root of unity,and `(1""+omega)^7=""A""+""Bomega`. Then (A, B) equals(1) (0, 1) (2) (1, 1) (3) (1, 0) (4) `(-1,""1)`A. 0,1B. 1,1C. 1,2D. `-1,1`

Answer» Correct Answer - B
`(1+omega)^7=(1+omega)(1+omega)^6`
`=(1+omega)(-omega^2)^6=1+omega`
`rArr " "A+Bomega=1+omega`
`rArr" "A=1,B=1`


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