[" No.of value of "2" for unich "],[1+2+2^(2)+-1-1+z^(17)=0],[1+z+2^(2)+-1+z^(13)=0]

If z ^(2) + z + 1 = 0, where z is a complex number, then the value of (z + (1)/(z)) ^(2) + (z ^(2) + (1)/( z ^(2))) ^(2) + (z ^(3) + (1)/(z ^(3))) ^(2) +...( z ^(6) + (1)/(z ^(6)) )^(2) is

Number of values of z (real or complex) simultaneously satisfying the system of equations 1+z+z^(2)+z^(3)++z^(17)=0 and 1+z+z^(2)+z^(3)++z^(13)=0 is

If z_(0)=(1-i)/2 , then the value of the product (1+z_(0))(1+z_(0)^(2))(1+z_(0)^(2^(2))(1+z_(0)^(2^(3)))…..(1+z_(0)^(2^(n))) must be

If z_(0)=(1-i)/2 , then the value of the product (1+z_(0))(1+z_(0)^(2))(1+z_(0)^(2^(2))(1+z_(0)^(2^(3)))…..(1+z_(0)^(2^(n))) must be

If z^(2)-z+1=0, then the value of (1)/(12)[(z+(1)/(z))^(2)+(z^(2)+(1)/(z^(2)))^(2)+(z^(3)+(1)/(z^(3)))^(2)+.........(x^(24)+(1)/(z^(24)))^(2)] is equal to

If z_(1),z_(2) are roots of equation z^(2)-az+a^(2)=0 then |(z_(1))/(z_(2))|=

If z^(2)+z+1=0 then the value of (z+1/z)^(2)+(z^(2)+1/z^(2))^(2)+(z^(3)+1/z^(3))^(2)+....+(z^(21)+1/z^(21))^(2) is equal to

If z^(2)+z+1=0 then the value of (z+1/z)^(2)+(z^(2)+1/z^(2))^(2)+(z^(3)+1/z^(3))^(2)+....+(z^(21)+1/z^(21))^(2) is equal to