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If f(x)={(sin(pi/2)(x-[x]),x<5),(5(b-1),...

If `f(x)={(sin(pi/2)(x-[x]),x<5),(5(b-1),x=5),((a b^2|x^2-11 x+24|)/(x-3),x >5))` is continuous at `x=5,a ,b in R` then ([.] denotes the greatest integer function) (A) `a=(25)/(108), b=6/5` (B) `a=6/(13), b=(17)/(29)` (C) `a=1/2, b=(25)/(36)` (D) `a=(23)/(100), b=6/5`

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