Let f : R $$\to$$ R be a function such that f(2) = 4 and f'(2) = 1. Then, the value of $$\mathop {\lim }\limits_{x \to 2} {{{x^2}f(2) - 4f(x)} \over {x - 2}}$$ is equal to :

Let P and Q be two distinct points on a circle which has center at C(2, 3) and which passes through origin O. If OC is perpendicular to both the line segments CP and CQ, then the set {P, Q} is equal to :

Let $$\alpha$$, $$\beta$$ be two roots of the

equation x² + (20)^1/4x + (5)^1/2 = 0. Then $$\alpha$$⁸ + $$\beta$$⁸ is equal to

The probability that a randomly selected 2-digit number belongs to the set {n $$\in$$ N : (2ⁿ $$-$$ 2) is a multiple of 3} is equal to :