The locus of a point which moves in such a way that its distance from the line \( \frac{x}{1}=\f... VIDEO
The locus of a point which moves in such a way that its distance from the line \( \frac{x}{1}=\frac{y}{1}=\frac{z}{-1} \) is twice the distance from the plane \( x+y+z=0 \) is
(a) \( x^{2}+y^{2}+z^{2}-5 x-3 y-3 z=0 \)
(b) \( x^{2}+y^{2}+z^{2}-5 x+3 y+3 z=0 \)
(c) \( x^{2}+y^{2}+z^{2}+5 x y+3 y z+z x=0 \)
(d) \( x^{2}+y^{2}+z^{2}+5 x y+3 y z+3 z x=0 \)
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