Question

write the equation of the lines which is parallel to x - axis and is at a distance of form the origin​

Answer 1

Answer:

on y axis

Step-by-step explanation:

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Answer 2

Answer:

the equation of x-axis and of a line parallel to x-axis:

Let AB be a straight line parallel to x-axis at a distance b units from it. Then, clearly, all points on the line AB have the same ordinate b. Thus, AB can be considered as the locus of a point at a distance b from x-axis and all points on the line AB satisfy the condition y = b.

Equation of a Line Parallel to x-axis

Equation of a Line Parallel to x-axis

Thus, if P(x, y) is any point on AB, then y = b.

Hence, the equation of a straight line parallel to x-axis at a distance b from it is y = b.

The equation of x-axis is y = 0, since, x-axis is a parallel to itself at a distance 0 from it.

Or

Let P (x,y) be any point on the x-axis. Then clearly, for all position of P we shall the same ordinate 0 or, y = 0.

Therefore, the equation of x-axis is y = 0.

If a straight line is parallel and below to x-axis at a distance b, then its equation is y = -b.

Step-by-step explanation:

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