If a, b, c are distinct integers and a cube root of unity then minimum value of `x=|a+bomega+c omega^2|+|a+bomega^2+comega|`

If a,b,c are distinct integers and a cube root of unity then minimum value of x=|a+b omega+c omega^(2)|+|a+b omega^(2)+c omega|

If a, b, c are distinct odd integers and omega is non real cube root of unity, then minimum value of | a omega^2 + b+ comega| , is

If a,b,c are distinct integers and omega(ne 1) is a cube root of unity, then the minimum value of |a+bomega+comega^(2)|+|a+bomega^(2)+comega| is

If a,b,c are distinct integers and omega(ne 1) is a cube root of unity, then the minimum value of |a+bomega+comega^(2)|+|a+bomega^(2)+comega| is

If a,b,c are distinct integers and omega(ne 1) is a cube root of unity, then the minimum value of |a+bomega+comega^(2)|+|a+bomega^(2)+comega| is

If a,b,c are distinct integers and omega(ne 1) is a cube root of unity, then the minimum value of |a+bomega+comega^(2)|+|a+bomega^(2)+comega| is

If a,b,c are distinct odd integers and omega is non real cube root of unity,then minimum value of |a omega^(2)+b+c omega|, is

If a,b,c are distinct odd integers and omega is non real cube root of unity, and minimum value of |a omega^(2)+b+c omega| ,is , K sqrt(3) ,then the value of K is

Statement-1: If a,b,c are distinct real number and omega( ne 1) is a cube root of unity, then |(a+bomega+comega^(2))/(aomega^(2)+b+comega)|=1 Statement-2: For any non-zero complex number z,|z / bar z)|=1