Question

Ordinate of all points on X-axis is
\[A.0\]
 \[B.1\]
\[C.2\]
\[D.3\]

Answer 1

Hint: The given question is about to write the ordinates of all the points on \[x - axis\]. The given question is all about axis (plural of axis which includes both the axis \[x - axis\] as well as \[y - axis\]). We have to make points on \[x - axis\] and check the ordinates of all points on \[x - axis\].

Complete step-by-step answer:
The question is to write the ordinates of all the points on \[x - axis\]. Firstly we will discuss what is ordinate and abscissa . Let us consider a point \[\left( {x,y} \right)\] which in any plane then \[x\] is abscissa and \[y\] is ordinate which means the point on \[x - axis\] is abscissa and the point on \[y - axis\] is ordinate. Let us take one more example which is \[\left( {3,4} \right)\]. The point on \[x - axis\] is \[3\] and on \[y - axis\] is \[4\]. Therefore abscissa is \[3\] and ordinate is \[4\].
Now In the given question, We have to write the ordinates of all the points on \[x - axis\]. It means the point which is on \[x - axis\]. It means the point which is on x-axis, We have to write that point on \[y - axis\].
Let us clear it by making \[x - axis\]

Since on \[x - axis\] there is no value of \[y\], Because on \[x - axis\], all the value in the point is of \[x - axis\]. It means , only abscissa is there on \[x - axis\], there is only abscissa. Because on \[x - axis\], all the values of the point are on \[x - axis\]. Therefore only abscissa lies there. But there is no ordinate because on \[x - axis\], there is no ordinate because on \[x - axis\], there is no point of \[y - axis\] so, There is no ordinate of all the points on \[x - axis\].
Hence There are zero ordinates of all the points on \[x - axis\]. Therefore option (A) is correct Also, on \[y - axis\] ,there is no point of \[x - axis\], only point of \[y - axis\] lies there which means on \[y - axis\], There are zero abscissa of all the points.

Note: There are zero ordinates of all the points on \[x - axis\]and there are zero abscissa of all the points on \[y - axis\]. But in any plane or any quadrant, the value of abscissa as well as ordinate is non-zero because in any quadrant, There are both values of \[x - axis\]and \[y - axis\] means abscissa and ordinate.