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Let f (x)= {{:(ax (x-1)+b,,, x lt 1),( x...

Let `f (x)= {{:(ax (x-1)+b,,, x lt 1),( x+2,,, 1 le x le 3),(px ^(2) +qx +2,,, x gt 3):}` is continous `AA x in R` except `x =1` but `|f (x)|` is differentiable everywhere and `f '(x)` is continous at `x=3 and |a+p+q|=k,` then k=

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