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A variable plane is at a distance p from...

A variable plane is at a distance `p` from the origin `O` and meets the set of rectangular axes `OX_(i)(i=1,2,3)` at points `A_(i)(i=1,2,3)` respectively. If planes are drawn through `A_(1),A_(2),A_(3)` which are parallel to the coordinate planes, then the locus of theri point of intersection is

A

`(1)/(x_1)+(1)/(x_2)+(1)/(x_3)=p`

B

`(1)/(x_1^2)+(1)/(x_2^2)+(1)/(x_3^2)=(1)/(p^2)`

C

`(1)/(x_1^3)+(1)/(x_2^3)+(1)/(x_3^3)=(1)/(p^3)`

D

`x_1^2+x_2^2+x_3^2=p^2`

Text Solution

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The correct Answer is:
B
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