Find the number of ordered pair(s) (a,b)...

Find the number of ordered pair(s) `(a,b)` for which the function `f(x)=sgn((x^(2)-ax+1)(bx^(2)-2bx+1))` is discontinuous at exactly one point (where `a,b` are integer). [Note: `sgn(x)` denotes signum function of `x`]

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