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If P be any point on the plane ln+ my +n...

If P be any point on the plane `ln+ my +nz=P` and Q be a point on the line OP, such that `(OP)(OQ) = P^2` . The locus of point Q is

A

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

B

`lx+ my + nz =p (x ^(2) + y ^(2) + z ^(2))`

C

`p (lx + my + nz) =x ^(2) + y ^(2) + z ^(2)`

D

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

Text Solution

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The correct Answer is:
C
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