The shortest distance between the point  $$\left( {{3 \over 2},0} \right)$$   and the curve y = $$\sqrt x $$, (x > 0), is -

The maximum volume (in cu.m) of the right circular cone having slant height 3 m is :

Let M and m be respectively the absolute maximum and the absolute minimum values of the function, f(x) = 2x³ $$-$$ 9x² + 12x + 5 in the interval [0, 3]. Then M $$-$$m is equal to :

If the curves y² = 6x, 9x² + by² = 16 intersect each other at right angles, then the value of b is :