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Question
Find the equation of a line parallel to x-axis and passing through the origin.
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Solution
The direction ratios of the line parallel to x-axis are proportional to 1, 0, 0.
Equation of the line passing through the origin and parallel to x-axis is
\[\frac{x - 0}{1} = \frac{y - 0}{0} = \frac{z - 0}{0}\]
\[ = \frac{x}{1} = \frac{y}{0} = \frac{z}{0}\]
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