Consider the function $$f(x) = |x - 1| + {x^2}$$, where x$$\in$$R.

Which one of the following statements is correct?

Which one of the following is correct in respect of the function

$$f(x) = x(x - 1)(x + 1)$$ ?

The maximum value of $${{\ln x} \over x}$$ is

A cylindrical jar without a lid has to be constructed using a given surface area of a metal sheet. If the capacity of the jar is to be maximum, then the diameter of the jar must be k times the height of the jar. The value of k is