If `x + (1)/(x) =2` , then `x^(2013) - (1)/(x^(2012)) = "______"`.

If x + frac(1)(x) =2 , then x^2013 + frac(1)(x^2014) is equal to (A) 0 (B) 1 (C) -1 (D) 2

If x is the root of the equation x^(2) -ix -1 =0 , then x^(2013) - 1/x^(2013) may be

If x is the root of the equation x^(2) -ix -1 =0 , then x^(2013) - 1/x^(2013) may be

Let x_(1) , x_(2) , x_(3) be the solution of tan^(-1) ((2x + 1)/(x +1 )) + tan ^(-1) ((2x - 1)/( x -1 )) = 2 tan ^(-1) ( x + 1) " where x_1 2x_(1) + x_(2) + x_(3)^(2) is equal to

If x_(1) = 2 tan^(-1) ((1 + x)/(1 -x)), x_(2) = sin^(-1) ((1 - x^(2))/(1 + x^(2))), " where " x in (0, 1) , then x_(1) + x_(2) is equal to

Let f(x)=x/(1-x) and ' a ' be a real number. If x_0=a , x_1=f(x_0) , x_2=f(x_1) , x_3=f(x_2) and so on. If x_(2011)=- (1/2012) , then the value of reciprocal of ' a ' is