Home
Class 11
MATHS
A variable plane is at a constant distan...

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

`x^(-2)+y^(-2)+z^(-2)=p^(-2)`

B

`x^(-2)+y^(-2)+z^(-2)=4p^(-2)`

C

`x^(-2)+y^(-2) +z^(-2)=10p^(-2)`

D

`x^(2)+y^(2)+z^(2)=p^(2)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Similar Questions

Explore conceptually related problems

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 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 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)

A line is at a constant distance c from the origin and meets the coordinate axes at A and B. The locus of the centre of the circle passing through, A, B, is

A circle of radius r passes through the origin and meets the axes at A and B. The locus of the centroid of triangleOAB" is"

A line is at a distance c from origin and meets axes in A an dB. The locus of the centre of the circle passing through O,A,B ais