A variable plane at a distance of 1 unit from the origin cuts the co-ordinate axes at A …

Mathematics · JEE Advanced · NTA ExamsCo-ordinate Geometry

A variable plane at a distance of 1 unit from the origin cuts the co-ordinate axes at A, B and C. If the centroid D (x, y, z) of triangle ABC satisfies the relation
\(\frac{1}{x^{2}}+\frac{1}{y^{2}}+\frac{1}{z^{2}}=k\), then the value of k is
  1. 9
  2. 1
  3. 3

Answer

(D) 3

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