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+ 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 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 integers not all equal and omega is a cube root of unity (omega ne 1) , then the minimum value of |a+bomega+comega^(2)| 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

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

If a , b , c are integers not all equal and w is a cube root of unity (w ne 1) then find the minimum value of |a + b w + c w^(2)|