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

** Q 2513401340. ** A variable plane `x/a + y/b + z/c =1` a a unit distance from origin cuts the coordinate axes at A, 8 and C. If centroid (x, y, z)

satisfies the equation `1/x^2 + 1/y^2 + 1/z^2 = K` , find the value of K

**JEE 2005 Prelims **