\( A \) variable plane passes through a fixed point \( (a, b, c) \)... VIDEO
\( A \) variable plane passes through a fixed point \( (a, b, c) \) and meets the coordinate axes in \( A, B \), C. The locus of the point common to plane through A, B, C parallel to coordinate planes is
(A) \( a y z+b z x+c x y=x y z \)
(B) \( a x y+b y z+c z x=x y z \)
\( \mathrm{P} \)
(C) \( a x y+b y z+c z x=a b c \)
(D) \( b c x+a c y+a b z=a b c \)
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