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) |
(d)
Let equation of plane is
Or
Coordinate of are and respectively
Centroid of is
Or
Locus is
Hence,