Choose the correct option for the given statements:
Statement 1 : If x + \(\frac{1}{x}\) = 1 and P = x4000 + \(\frac{1}{x^{4000}}\) and and q be the digit at unit place in the number \(2^{2^n}\) + 1, n ∈ N and n > 1, then the value of p + q = 8.
Statement 2 : If ω, ω2 are the roots of x + \(\frac{1}{x}\) = -1, then x2 + \(\frac{1}{x^2}\) = -1, x3 + 1. x3 = 2
1
Statement - 1 is True, Statement - 2 is True, Statement - 2 is a correct explanation for Statement - 1
2
Statement - 1 is True, Statement - 2 is True ; Statement - 2 is NOT a correct explanation for Statement - 1
3
Statement - 1 is True, Statement - 2 is False
4
Statement - 1 is False, Statement - 2 is True