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Let a,b,cR such that a+b+c=π. If f(x)=⎪ ⎪ ⎪ ⎪⎪ ⎪ ⎪ ⎪sin(ax2+bx+c)x21,if x<11,if x=1a sgn(x+1)cos(2x2)+bx2,if 1<x2 is continuous at x=1, then the value of (a2+b2) is
[Here, sgn(k) denotes signum function of k]