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

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

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