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Q.

Match the columns :

 Column I Column II
a)If  μ<02(5x9x2)dx<λ, then(p) [6λ+8μ]=3, where [.] denotes the greatest integer function.
b)If  μ<π/4π/3sinxxdx<λ, then(q) [λ2]=8, where [.] denotes the greatest integer function.
c)If  μ<13(3+x3)dx<λ, then(r) [λ+μ]=2, where [.] denotes the greatest integer function.
  (s) [λμ]=6, where [.] denotes the greatest integer function.
  (t) [5λμ]=5, where [.] denotes the greatest integer function.

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a

a→s, b→p, c→s,

b

a→p, b→r, c→q,

c

a→r,t, b→p, c→q,s, 

d

a→q, b→r, c→p

answer is C.

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Detailed Solution

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f(x)=5x9x2          f'(x)=0   x=1       f(0)=59.   f(1)=12                 f(2)=35

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