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A variable plane makes intercepts on X,...

A variable plane makes intercepts on X, Y and Z-axes and it makes a tetrahedron of volume 64cu. Units. The locus of foot of perpendicular from origin on this plane is

A

(a)`(x^2+y^2+z^2)=384xyz`

B

(b)`xyz=681`

C

(c)`(x+y+z)((1)/(x)+(1)/(y)+(1)/(z))^2=16`

D

(d)`xyz(x+y+z)=81`

Text Solution

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The correct Answer is:
(a)
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