" If "omega!=1" is "n^(" th ")" root of unity,then value of "sum_(k=0)^(n-1)|z_(1)+omega^(k)z_(2)|^(2)

The omega!= 1 is nth root unity, then value of sum_(k=0)^(n-1)|z_1+omega^k z_2|^2 is n(|z_1|^2+|z_2|^2) b. |z_1|^2+|z_2|^2 c. (|z_1|+|z_2|)^2 d. n(|z_1|+|z_2|)^2

If omega is a complex cube root of unity , then sum_(k = 1)^(6) ( omega^(k) + (1)/(omega^(k)))^(2) =

If 1,omega,......,omega^(n-1) are the n^(th) roots of unity,then value of (1)/(2-omega)+(1)/(2-omega^(2))......+(1)/(2-omega^(n-1)) equals

If n is a positive integer and omegane1 is a cube of unity, the number of possible values of |e^(sum_(k=0)^(n) ((n)/(k))omega^(k))|

If omega is a complex nth root of unity,then sum_(r=1)^(n)(a+b)omega^(r-1) is equal to (n(n+1)a)/(2) b.(nb)/(1+n) c.(na)/(omega-1) d.none of these

If omega ne 1 is a cube root of unity, then z=sum_(k=1)^(60)omega^(k) - prod_(k=1)^(30)omega^(k) is equal to

If 1, omega, omega^(2) are the cube roots of unity, then the value of |(1,omega^(n),omega^(2n)),(omega^(n),omega^(2n),1),(omega^(2n),1,omega^(n))| is equal to -

If omega!=1. is nth root of unity,and (omega+x)^(n)=1+bar(omega)+(n-1)/(2n)bar(omega)^(2)+... then value of x

If omega is the 2014^("th") root of unity and z_(1) and z_(2) be any two complex numbers such that |z_(1)|=3,|z_(2)|=4 then value of underset(k=0)overset(2013)sum |z_(1)+omega^(k)z_(2)|^(2) is

If omega is a cube root of unity then the value of the expression 2(1+w)(1+w^(2))+3(1+w)(1+w^(2))+....+(n+1)(n+w)(n+w^(2))