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A variable plane is parallel to the given plane x/a+y/b+z/c=0 and meets the

A variable plane is parallel to the given plane x/a+y/b+z/c=0 and meets the axes in A, B, C respectively. Prove that the circle ABC lies on the cone yz(b/c+c/b)+zx(c/a+a/c)+xy(a/b+b/a)=0.

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