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If P is any point on the plane l x+m y+n...

If `P` is any point on the plane `l x+m y+n z=pa n dQ` is a point on the line `O P` such that `O P.O Q=p^2` , then find the locus of the point `Qdot`

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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