Question

The origin (0,0) lies on the x-axis. State true or false.

Answer 1

Hint: For finding the point on x-axis we have put the abscissa value i.e (x=0). Here for locating the point (0,0) we put abscissa value i.e (x=0) and ordinate value i.e (y=0).

Complete step-by-step answer:

Consider the linear equation $x+y = 0$.
If we put the value of y as 0, then we will be left with
$x+0 = 0$
From this we get the coordinate of x as 0.
If x as some value like x=6, x=2, etc
then these linear equations will be parallel to the x axis.
But when x=0, the linear equation will lie on the x-axis.
From this we can conclude that the coordinate (0,0) or the origin lies on the x-axis.

The given statement is true.

Note: In mathematics , the origin of a Euclidean space (coordinate system)is a special point, usually denoted by the letter O , it is used as a fixed point of reference for the geometry of the surrounding space. But in case of physical problems , the choice of origin is often arbitrary, meaning any choice of origin will ultimately give the same result.
When y=0 , the point obtained lies parallel to the x-axis.
When x=0 , the point obtained lies parallel to the y-axis.