Home
Class 11
MATHS
A variable plane makes with the coordina...

A variable plane makes with the coordinate planes, a tetrahedron of constant volume `64k^(3)`. Then the locus of the centroid of tetrahedron is the surface

A

`xyz=6k^(3)`

B

`xy+yz+zx=6k^(2)`

C

`x^(2)+y^(2)+z^(2)=8k^(2)`

D

`x^(-2)+y^(-2) +z^(-2) =8k^(2)`

Text Solution

Verified by Experts

The correct Answer is:
a
Promotional Banner

Topper's Solved these Questions

  • 3D COORDINATE SYSTEM

    AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (LEVEL - II PRACTICE SHEET (ADVANCED)) (Matrix Matching Type Questions)|1 Videos

  • 3D COORDINATE SYSTEM

    AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (LEVEL - II PRACTICE SHEET (ADVANCED)) (Linked Comprehension Type Questions)|3 Videos

  • 3D COORDINATE SYSTEM

    AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (LEVEL - II LECTRUE SHEET (ADVANCED)) (Integer Type Questions)|1 Videos

  • 2D-COORDINATE SYSTEM

    AAKASH SERIES|Exercise ADVANCED SUBJECTIVE TYPE QUESTIONS|14 Videos

  • 3D-COORDINATE SYSTEM

    AAKASH SERIES|Exercise PRACTICE EXERCISE|40 Videos

Similar Questions

Explore conceptually related problems

If a variable plane forms a tetrahedron of constant volume 64k^(3) with the co-ordinate planes find the locus of the centroid of the tetrahedron.

A variable plane is at a constant distance P from the origin and meets the axes in A, B and C. The locus of the centroid of tetrahedran OABC is

A variable plane is at a constant distance p from the origin and meets the axes in A, B and C. The locus of the centroid of the triangle ABC is

A variable plane is at a constant distance 3p from the origin and meets the axes A, B and C. The locus of the centroid of the triangle ABC is

A variable plane is at a constant distance 3p from the origin and meets the axes A, B and C. Show that the locus of the centroid of the triangle ABC is x^(-2)+y^(-2)+z^(-2)=p^(-2)