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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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MCGROW HILL PUBLICATION-THE DIMENSIONAL GEOMETRY -QUESTIONS FROM PREVIOUS YEARS. B-ARCHITECTURE ENTRANCE EXAMINATION PAPERS
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