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Let f(x) be diferentiable function on th...

Let f(x) be diferentiable function on the interval
`(-oo,0)` such that f(1)=5 and `lim_(a to x)(af(x)-xf(a))/(a-x)=2,` for
all `x in R.` Then which of the following alternative(s) 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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