A variable plane passes through a fixed point (a, P b, c) and meets...

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A variable plane passes through a fixed point (a,
P b, c) and meets the coordinate axes in A, B, C. Locus

W of the point common to the planes through A, B, C and parallel to coordinate plane, is
(1) \( \frac{a}{x}+\frac{b}{y}+\frac{c}{z}=1 \)
(2) \( \frac{x}{a}+\frac{y}{b}+\frac{z}{c}=1 \)
(3) \( a x+b y+c z=1 \)
(4) \( a x+b y+c z=0 \)
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