Complex NumbersHard
Question
If 1, ω, ω2 are the cube roots of unity, then
ᐃ =
is equal to
ᐃ =
is equal toOptions
A.0
B.1
C.ω
D.ω2
Solution
ᐃ = 
= 0
Since, 1 + ωn + ω2n = 0, if n is not a multiple of 3
Therefore, the roots are identical.
Hence, (A) is the correct answer
= 0Since, 1 + ωn + ω2n = 0, if n is not a multiple of 3
Therefore, the roots are identical.
Hence, (A) is the correct answer
Create a free account to view solution
View Solution FreeMore Complex Numbers Questions
The conjugate of is -...The points z1, z2, z3, z4 in the complex plane are the vertices of a parallelogram taken in order, if and only if...If Arg (z - 2 - 3i) = , then the locus of z is...If z1 and z2 are two non-zero complex numbers such that |z1 + z2| = |z1| + |z2| then argz1 - argz2 is equal to...Let z and ω are two non-zero complex numbers such that | z | = | ω | and arg z + arg ω = π, then z e...