Question

If f(x) is a function which is derivable in an interval 1 containing a point c, then match List I with List II.

List I		List II
A.	f(x) has second order derivate at x = c such that f'(c) = 0 and f'(c) < 0; then	I.	point of inflexion of f(x)
B.	Necessary condition for point x = c to be extreme point of f(x) is	II.	‘c’ is point of local minima of f(x)
C.	If f'(x) does not change its sign as x crosses the point x = c then it is called a	III.	c is a critical point of f(x)
D.	f(x) has second order derivate at x = c such that f'(c) and f'(c) > 0; then	IV.	‘c’ is point of local maxima of f(x)

Choose the correct answer from the options given below :

• A. A-IV, B-I, C-III, D-II
• B. A-II, B-I, C-III, D-IV
• C. A-II, B-III, C-I, D-IV
• D. A-IV, B-III, C-I, D-II

Answer 1

The Correct Option is D

The correct option is (D) :A-IV, B-III, C-I, D-II.