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 = 13lambda` then `lambda=............`

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

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

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)=i then z^(2005)+(1)/(z^(2005))=+-sqrt(k) then k is

Z-((1)/(Z))=i then z^(2005)+((1)/(z^(2005))) is?

If 1,alpha,alpha^(2),………..,alpha^(n-1) are the n, n^(th) roots of unity and z_(1) and z_(2) are any two complex numbers such that sum_(r=0)^(n-1)|z_(1)+alpha^(R ) z_(2)|^(2)=lambda(|z_(1)|^(2)+|z_(2)|^(2)) , then lambda=

If 1,alpha,alpha^(2),………..,alpha^(n-1) are the n, n^(th) roots of unity and z_(1) and z_(2) are any two complex numbers such that sum_(r=0)^(n-1)|z_(1)+alpha^(R ) z_(2)|^(2)=lambda(|z_(1)|^(2)+|z_(2)|^(2)) , then lambda=