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Let f(x) be a differentiable function on...

Let `f(x)` be a differentiable function on the interval `(-oo,0)` such that `f(1)=5` and `lim_(a to x)(af(x)-xf(a))/(a-x)=2, forall x in R.`
Then which of the following alternatives is/are correct?

A

`f(x)` has an inflection point

B

`f'(x)=3,AAx in R`

C

`int_(0)^(2)f(x)dx=-10`

D

Area bounded by `f(x)` with coordinate axes is `2/3`

Text Solution

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The correct Answer is:
B, C, D
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