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A variable plane at a distance of 1 unit from the origin cuts the axes at A, B and C. If the centroid `D(x, y, z)` of `triangleABC` satisfies the relation `(1)/(x^2)+(1)/(y^2)+(1)/(z^2)=K,` then the value of K is

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MCGROW HILL PUBLICATION-CARTESIAN SYSTEM OF RECTANGULAR COORDINATES AND STRAIGHT LINES -SOLVED EXAMPLES (NUMERICAL ANSWER TYPE QUESTIONS)
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