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Q.

Let f(x) be any function. Observe the following 

List - IList - II
A) f1(a) =0 and f11(a) < 0 then1) f(x) is increasing at x = a
B) f1(a)=0 and f11(a) > 0 then2) f(x) has maximum value at x = a
C) f1(a)0 then3) f(x) has neither max.nor.minimum
D) f1(a) > 0 then4) f(x) has minimum value at x = a
 5) f(x) is decreasing at x = a

Correct match is

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a

A - 4, B - 2, C - 3, D - 5

b

A - 2, B - 4, C - 3, D - 5

c

A - 2, B - 4, C - 3, D - 1

d

A - 2, B - 4, C - 5, D - 1

answer is C.

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Detailed Solution

A fIa=0 and fIIa<0 at x=a fx is max B fIa=0 and fIIa>0 at x=a fx is min C fIa0 at x=a

Neither max or min

D fIa>0fx is increasing at x=a

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