# Is This Just Another Boring Parabola Problem?

Geometry Level 2

A parabola whose vertex is the point $$V(2,3)$$ and focus is $$(5,6)$$ has equation $$ax^2+bxy+cy^2+dx+ey+f=0$$, where $$\gcd(a,b,c,d,e,f)=1$$.

Find $$|a+b+c+d+e+f|$$.

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