For k=1,2,…9, if we define zk=cos(3kπ/10)+isin(2kπ/10), then is i – McqOptions

MCQOPTIONS

1.	For k=1,2,…9, if we define zk=cos(3kπ/10)+isin(2kπ/10), then is it true that for each zk, there exists zj satisfying zk× zj=1?
A.	True
B.	False
Answer» B. False

Discussion

No Comment Found

Related MCQs

Which of the following is not equal to (-1)1/3?
Find ∑r=1(ar+b) ωr-1 if ω is a complex nth root of unity.
If ω is the complex cube root of unity, then which among the following is a factor of the polynomial x6+ 4x5+3x4+2x3+x+1?
Find the cube root of 8i lying in the first quadrant of the complex plane.
Let ω and ω2 be the non-real cube roots of unity and 1/(a+ω)+1/(b+ω)+1/(c+ω)=2ω2 and 1/(a+ω2)+1/(b+ω2)+1/(c+ω2)=2ω, then calculate 1/(a+1)+1/(b+1)+1/(c+1).
Find the possible value(s) of Re(i1/2)+|Im(i1/2)|.
If α,β,ȣ are the roots of equation x3–3x2+3x+7=0 and ω is cube root of unity, then evaluate (α-1)/(β-1)+(β-1)/(ȣ-1)+(ȣ-1)/(α-1).
Find the value of (1+ω)(1+ω2)(1+ω4)(1+ω8)…to 2n factors.
For integral x,y,z, find the range of |x+yω+zω2| if it is not true that x=y=z.
Let a and b be complex cube roots of unity. If x=7a+2b and y=2a+7b, then evaluate xy.