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Let f(x)=int(0)^(x)(|t-1|-|t+2|+t-2)dt, ...

Let `f(x)=int_(0)^(x)(|t-1|-|t+2|+t-2)dt`, such that `f''(a)ne1`. If vectors `a hati-b^(2)hatj and hati+3bhatj` are parallel for at least one `a`, then the maximum value of `(1-8b-b^(2))` is:

A

(a) `4`

B

(b) `8`

C

(c) `12`

D

(d) `16`

Text Solution

Verified by Experts

The correct Answer is:
D
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