SECTION 2 (Maximum Marks: 24)

• This section contains SIX (06) questions.

• The answer has FOUR options. ONE OR MORE THAN ONE of these four option(s) is(are) correct answer (s).

• For each question, choose the option(s) corresponding to (all)the answer(s).

• Answer to each question will be evaluated according to the following marking scheme:

Full marks : +4 If only (all) the correct option(s) is(are) chosen;

Partial Marks : +3 If all the four options are correct but ONLY three options are chosen;

Partial Marks : +2 If three or more options are correct but ONLY two options are chosen, both

of which are correct;

Partial Marks : +1 If two or more options are correct but ONLY one option is chosen and it is a

correct option;

Zero Marks : 0 If none of the options is chosen (i.e. the question is unanswered);

Negative Marks:-2 In all other cases.

Let b be a nonzero real number. Suppose f L R R is a differentiable function such that f(0) = 1. If the derivative f’ of f satisfies the equation

for all x R, then which of the following statements is/are TRUE?