Question

Solve the following question and mark the best possible option.
If 0 < b < a, then find the minimum value of `a + 1/((a - b)b)`.

Options

• 3

• 4

• 2

• 1

Answer 1

We have `a + 1/((a - b)b)`

= `b + (a - b) + 1/((a - b)b) ≥ 3 root(3)(b(a - b) xx 1/((a - b)b)`

= a + `1/((a - b)b)` ≥ 3.
Hence the minimum value is 3.