Home
Class 11
MATHS
If a, b, c are integers, no two of them ...

If a, b, c are integers, no two of them being equal and `omega` is complex cube root of unity, then minimum value of `|a+b omega| + c omega^(2)|` is

A

1

B

`sqrt3`

C

2

D

3

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Similar Questions

Explore conceptually related problems

If omega is an imaginary cube root of unity, then (1 + omega - omega^(2))^(7) is equal to

If omega is a cube root of unity, then find (3+5omega+3omega^(2))^(2)+ (3 +3omega+5omega^(2))^(2)

Let omega ne 1 be cube root of unity and (1 + omega ) ^(7)= a + omega. Then the value of a is

If omegane1 is a cube root of unity , then the value of |(1,1+i+w^2,w^2),(1-i,-1,w^2 -1),(-i,-1+w-i,-1)| , is

If x=a+b, y=a alpha + b beta and z= alpha beta + b alpha , where alpha and beta are complex cube roots of unity, then xyz=

If a,b, and c are three non-zero vectors such that each one of them being perpendicular to the sum of the other two vectors, then the velus of |a +b+ c| ^(2) is

If 1, omega_(1), omega_(2),…omega_(6) " are " 7^(th) roots of unity then Im (omega_(1) + omega_(2)+ omega_(4)) is equal to

If omega is a complex cube root of unity, then the value of sin{(omega^(10)+omega^(23))pi-(pi)/(6)} is a) (1)/(sqrt(2)) b) (sqrt(3))/(2) c) -(1)/(sqrt(2)) d) (1)/(2)