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### Question Asked by a Student from EXXAMM.com Team

** Q 2117123089. ** A variable plane is at a constant distance p from

the origin and meets the axes in `A, B` and `C`. If the

locus of the centroid of the tetrahedron `OABC` is

`x^(-2) + y^(-2) + z^(-2) = lambda p^(-2)`

then the value of `160 lambda` must be