Comprehension \( \quad \) Let \( L \) be a straight line passing through \( (1,1,1) \) which is ...

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Comprehension \( \quad \) Let \( L \) be a straight line passing through \( (1,1,1) \) which is parallel to \( x+y+z=1 \) and intersect the line \( x+2 y+z=1, x+y+2 z=3 \).

The equation of line which intersect the line \( L \) and \( \frac{x}{1}=\frac{y}{9}=\frac{z}{17} \& \) parallel to \( \frac{x}{1}=\frac{y}{2}=\frac{z}{3} \) is
(a) \( \frac{x-1}{1}=\frac{y-1}{2}=\frac{z-2}{3} \)
(b) \( \frac{x-1}{2}=\frac{y-2}{4}=\frac{z-2}{3} \)
(c) \( \frac{x}{7}=\frac{y}{14}=\frac{z}{21} \)
(d) \( \frac{x-1}{1}=\frac{y-1}{2}=\frac{z-1}{3} \)
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