# Question on #3D

Geometry Level 5

A plane passes through a fixed point $$(37,41,43)$$. The $$locus$$ of the foot of perpendicular to it from from the origin is the sphere $$ax^2+by^2+cz^2-dx-ey-fz+g=0$$

Find $$\large{a+b+c+d+e+f+g}$$

Note: $$a,b,c,d,e,f,g$$ are co prime integers.

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