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The locus of point which moves in such a...

The locus of point which moves in such a way that its distance from the line `(x)/(1)=(y)/(1)=(z)/(-1)` is twice the distance from the plane `x+y+z=0` is

A

`x^(2)+y^(2)+z^(2)--5x-3y-3z=0`

B

`x^(2)+y^(2)+z^(2)-5x+3y+3z=0`

C

`x^(2)+y^(2)+z^(2)+5xy+3yz+zx=0`

D

`x^(2)+y^(2)+z^(2)+5xy+3yz+3zx=0`

Text Solution

Verified by Experts

The correct Answer is:
C
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