Home
Class 12
MATHS
A sphere of constant radius 2k passes...

A sphere of constant radius `2k` passes through the origin and meets the axes in `A ,B ,a n dCdot` The locus of a centroid of the tetrahedron `O A B C` is a. `x^2+y^2+z^2=4k^2` b. `x^2+y^2+z^2=k^2` c. `2(k^2+y^2+z)^2=k^2` d. none of these

Promotional Banner

Similar Questions

Explore conceptually related problems

A sphere of constant radius k ,passes through the origin and meets the axes at A,B and C. Prove that the centroid of triangle ABC lies on the sphere 9(x^(2)+y^(2)+z^(2))=4k^(2)

A circle of constant radius 5 units passes through the origin O and cuts the axes at A and B. Then the locus of the foot of the perpendicular from O to AB is (x^(2)+y^(2))^(2)(x^(-1)+y^(-2))=k then k=

A circle of constant radius r passes through the origin O, and cuts the axes at A and B. The locus of the foots the perpendicular from O to AB is (x^(2) + y^(2)) =4r^(2)x^(2)y^(2) , Then the value of k is

If a circle of constant radius 3k passes through the origin O and meets the coordinate axes at AandB,then the locus of the centroud of triangle OAB is (a)x^(2)+y^(2)=(2k)^(2)(b)x^(2)+y^(2)=(3k)^(2)(c)x^(2)+y^(2)=(4k)^(2)(d)x^(2)+y^(2)=(6k)^(2)

A variable plane which remains at a constant distance p from the origin cuts the coordinate axes in A, B, C. The locus of the centroid of the tetrahedron OABC is x^(2)y^(2)+y^(2)z^(2)+z^(2)x^(2)=(k)/(p^(2))x^(2)y^(2)z^(2), then root(5)(2k) is

A variable plane which remains at a constant distance p from the origin cuts coordinate axes in A,B,C.sof centroid of tetrahedron OABC is y^(2)z^(2)+z^(2)x^(2)+x^(2)y^(2)=kx^(2)y^(2)z^(2) where k is equal to

The tangent at the point P on the rectangular hyperbola xy=k^(2) with C intersects the coordinate axes at Q and R. Locus of the coordinate axes at triangle CQR is x^(2)+y^(2)=2k^(2)(b)x^(2)+y^(2)=k^(2)xy=k^(2)(d) None of these