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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

Let the coordinates of any point A on x-axis is ( a,0,0 ).

The equation of a line parallel to the given line and passing through the point is,

x x 1 x 0 = y y 1 y 0 = z z 1 z 0 x0 a = y0 0 = z0 0 x 1 = y 0 = z 0 =a

Therefore, the equation of a line parallel to the xaxis and passing through the origin is x 1 = y 0 = z 0 .


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