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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 line parallel to x-axis and passing through the origin is x-axis itself.

Let A be a point on x-axis.

Therefore, the coordinates of A are given by (a,0,0), where aR.

Direction ratios of OA are (a0)=a,0,0.

The equation of OA is given by,

x0a=y00=z00

x1=y0=z0=a

Thus, the equation of line parallel to x-axis and passing through origin is

x1=y0=z0.

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