lf `z + 1/z =1 and a = z^2017 +1/z^2017 and b` is the lastdigit of the number `2^(2^n)-1` ,, when the integer `n >1`, the value of `a^2 +b^2` is

If z+(1)/(z)=1 and a=z^(2017)+(1)/(z^(2017)) and b is the lastdigit of the number 2^(2^(n))-1, when the integer n>1, the value of a^(2)+b^(2) is

If z+(1)/(z)=1 and a=z^(2005)+(1)/(z^(2005)) and bis last digit of the number 2^(2^(n))-1 when the integer n>1 and a^(2)+b^(2)=13 lambda then lambda=..........

If z is a complex number satisfying z+z^(-1)=1 then z^(n)+z^(-n),n in N, has the value

If n is a natural number gt 2 , such that z^(n) = (z+1)^(n) , then

If |z_1 + z_2|=|z_1| + |z_2| , then one of the value of arguments of the complex number (z_2)/(z_1) is

For a complex number Z,|Z|=1 and "arg "(Z)=theta . If (Z)(Z^(2))(Z^(3))…(Z^(n))=1 , then the value of theta is

It is given that complex numbers z_1a n dz_2s a t i sfy|z_1|2a n d|z_2|=3. If the included angled of their corresponding vectors is 60^0 , then find the value of |(z_1+z_2)/(z_1-z_2)| .

It is given the complex numbers z_(1) and z_(2) , |z_(1)| =2 and |z_(2)| =3 . If the included angle of their corresponding vectors is 60^(@) , then find value of |(z_(1) +z_(2))/(z_(1) -z_(2))|

If z_(1) and z_(2) are two complex numbers such that z_(1)+2,1-z_(2),1-z, then