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A point P moves on a plane x/a + y/b + z/c = 1. A plane through P and perpendicular to OP meets the co-ordinate axes in A, B and C.

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

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Given plane is

∴ Equation of the plane through P and normal to OP is

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