Two particles A and B move from rest along a straight line with constant accelerations f and f' respectively. If A takes m sec. more than that of B and describes n units more than that of B in acquiring the same velocity, then

If the tangent at the point P with co-ordinates (h, k) on the curve y² = 2x³ is perpendicular to the straight line 4x = 3y, then

If the tangent to the curve y² = x³ at (m², m³) is also a normal to the curve at (m², m³), then the value of mM is

If the function $$f(x) = 2{x^3} - 9a{x^2} + 12{a^2}x + 1$$ [a > 0] attains its maximum and minimum at p and q respectively such that p² = q, then a is equal to