Let $$\alpha$$ and $$\beta$$ be the roots of $${x^2} + x + 1 = 0$$. If n be a positive integer, then $$\alpha$$ⁿ + $$\beta$$ⁿ is

For real x, the greatest value of $${{{x^2} + 2x + 4} \over {2{x^2} + 4x + 9}}$$ is

If p, q are the roots of the equation x² + px + q = 0, then

The number of values of k, for which the equation x² $$-$$ 3x + k = 0 has two distinct roots lying in the interval (0, 1), are