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Let u=sqrt(c+1)-sqrt(c)andv=sqrt(c)-sqrt...

Let `u=sqrt(c+1)-sqrt(c)andv=sqrt(c)-sqrt(c-1),cgt1`and let `f(x)=In (1+x),AAx in (-1,oo).`
Statement I `f(u)gtf(v),AAcgt1` because
Statement II f(x) is increasing ffunction, hence for
`ugtv,f(u)gtf(v).`

A

Statement I is true, Statement II is also true, Statement II is the correct explanation of statement I.

B

Statement I is true, Statement II is also true, Statement II is not the correct explanation of Statement I.

C

Statement I is true, Statement II is false

D

Statement I is false, Statement II is true

Text Solution

Verified by Experts

The correct Answer is:
D
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