Complex Numbers 5 Question 10

11. If ω(1) is a cube root of unity and (1+ω)7=A+Bω, then A and B are respectively

(a) 0,1

(b) 1,1

(c) 1,0

(d) 1,1

(1995,2M)

Show Answer

Answer:

Correct Answer: 11. (b)

Solution:

  1. (1+ω)7=(1+ω)(1+ω)6

=(1+ω)(ω2)6=1+ωA+Bω=1+ωA=1,B=1



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