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Q.

Let    F(x)=0x(t1)(t2)2dt

 

Column I

 

Column II

a)

b)

c)

d)

The point of minimum of F lie in

F increases on

F decreases on

If F(x)K for all x for some K, then K lies in 

p)

q)

r)

s)

(0,)

(0, 2)

[1,)

(-4, -1)

see full answer

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a

a→p b→p, c→s, d→s

b

a→p,q,r, b→r, c→s, d→s

c

a→s, b→p, c→r, d→q

d

a→q, b→r, c→p, d→s

answer is B.

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F'(x)=(x1)(x2)2

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