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A variable plane which remains at a con...

A variable plane which remains at a constant distance P from the origin (0) cuts the coordinate axes in A, B and C

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

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