TS EAMCET · Maths · Complex Number
If are the cube roots of unity, and then the least value of such that is a root of is
- A
- B
- C
- D
Answer & Solution
Correct Answer
(C)
Step-by-step Solution
Detailed explanation
It is given that 1+ω is the root of xn-x=0 1+ωn-1+ω=0 ⇒-ω2n-1+ω=0 ∵1+ω+ω2=0 ⇒ -1nω2n-1-ω=0 ⋯1 Since, ω is the cube root at unity, So 1+ω+ω2=0, hence for 1…
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