The tangent to \( y=a x^{2}+b x+\frac{7}{2} \) at \( (1,2) \) is parallel to the normal at the p...

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The tangent to \( y=a x^{2}+b x+\frac{7}{2} \) at \( (1,2) \) is parallel to the normal at the point \( (-2,2) \) on the curve \( y=x^{2}+6 x+10 \). Then the value of \( (a+b) \) is
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