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A variable plane makes with coordinate planes a tetrahedron of constant volume 64k^3 .The locus of the centroid of the tetrahedron is: (a)xyz = 6k^3 (b)xyz = 8k^3 (c)x+y+z = 6k (d)x^3 + y^3 + z^3 = 64k^3

A variable plane makes with coordinate planes a tetrahedron of constant volume 64k^3 .The locus of the centroid of the tetrahedron is:
(a)xyz = 6k^3
(b)xyz = 8k^3
(c)x+y+z = 6k
(d)x^3 + y^3 + z^3 = 64k^3

Grade:12th pass

1 Answers

Saurabh Koranglekar
askIITians Faculty 10336 Points
2 years ago
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