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A variable plane is at a constant distan...

A variable plane is at a constant distance `p` from the origin and meets the coordinate axes in `A , B , C` . Show that the locus of the centroid of the tehrahedron `O A B Ci sx^(-2)+y^(-2)+z^(-2)=16p^(-2)dot`

A

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

B

`x^(-2) + y ^(-2) +z^(-2)=16p^(-2)`

C

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

D

`x^(-2) + y ^(-2) +z^(-2)=9p^(2)`

Text Solution

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The correct Answer is:
B
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AAKASH INSTITUTE-THREE DIMENSIONAL GEOMETRY -ASSIGNMENT SECTION - B
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