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A point P moves on a plane (x)/(a)+(y)/(...

A point P moves on a plane `(x)/(a)+(y)/(b)+(z)/(c)=1`. A plane through P and perpendicular to OP meets the coordinate axes in A, B and C. If the planes throught A, B and C parallel to the planes `x=0, y=0 and z=0` intersect in Q, then find the locus of Q.

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