Let $$\alpha$$ be a root of the equation 1 + x² + x⁴ = 0. Then, the value of $$\alpha$$¹⁰¹¹ + $$\alpha$$²⁰²² $$-$$ $$\alpha$$³⁰³³ is equal to :

Let f(x) be a quadratic polynomial such that f($$-$$2) + f(3) = 0. If one of the roots of f(x) = 0 is $$-$$1, then the sum of the roots of f(x) = 0 is equal to :

The number of distinct real roots of x⁴ $$-$$ 4x + 1 = 0 is :

Let $$A = \{ x \in R:|x + 1| < 2\} $$ and $$B = \{ x \in R:|x - 1| \ge 2\} $$. Then which one of the following statements is NOT true?