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A variable plane is at a distance, k fro...

A variable plane is at a distance, k from the origin and meets the coordinates axis in A, B , C. Then, the locus of the centroid of `triangleABC` is

A

Locus of centroid of tetrahedron OABC is `x^2y^2+z^2y^2+z^2x^2=(16)/(p^2)(x^2y^2z^2)`.

B

Locus of centroid of tetrahedron OABC is `x^2y^2+z^2y^2+z^2x^2=(4)/(p^2)(x^2y^2z^2)`.

C

Parametric equation of the centroid of the the tetrahedron is of the form `((p)/(4)sec(alpha)sec(beta), (p)/(4)sec(alpha)cosec(beta), (p)/(4)cosec(alpha)) alpha, betain(0, 2pi)-{(pi)/(2), pi, (3pi)/(2)}`.

D

None of these

Text Solution

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The correct Answer is:
(a, b)
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