# A Curve and Two Lines

Geometry Level pending

Suppose $$g$$ is the quadratic function with leading coefficient 1 whose graph is tangent to the lines $$5x+y-6=0$$ and $$x-y-1=0$$. The sum of the coefficients of $$g$$ is $$\frac{p}{q}$$, where $$p$$ and $$q$$ are positive coprime integers. Find the value of $$100p+q$$.

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