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f(x) is cubic polynomial with f(x)=18a n...

`f(x)` is cubic polynomial with `f(x)=18a n df(1)=-1` . Also `f(x)` has local maxima at `x=-1a n df^(prime)(x)` has local minima at `x=0` , then (A) the distance between `(-1,2)a n d(af(a)),` where `x=a` is the point of local minima is `2sqrt(5)` (B)`f(x)` is increasing for `x in [1,2sqrt(5])` (C)`f(x)` has local minima at `x=1` (D)the value of `f(0)=15`

A

the distance between (-1,2) and (a,f(a)), where x=a is the point of minima is `2sqrt5`

B

f(x) is increasing for `x in [1,2sqrt5[`

C

f(x) has local minima at x=1

D

the value of f(0)=5

Text Solution

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The correct Answer is:
B, C
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