A variable plane which remains at a constant distance from the origin cuts the coordinate axes in . The locus of the centroid of the tetrahedron is , where is equal to |
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a) |
b) |
c) |
d) |

A variable plane which remains at a constant distance from the origin cuts the coordinate axes in . The locus of the centroid of the tetrahedron is , where is equal to |
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a) |
b) |
c) |
d) |

1 Answer

127 votes

**(d)**

Let equation of plane is

Or

Coordinate of are and respectively

Centroid of is

Or

Locus is

Hence,

127 votes

127