Question

Write the coordinates of the following points:
A) Lying on both axes.
B) Lying on \[x\] axes and with \[x\] co–ordinates \[4\].
C) Lying on \[y\] axes and with \[y\] co–ordinates \[ - 3\].

Answer 1

Hint:First of all, read the question carefully and get an idea of Cartesian plane and co-ordinates used in that system. Here we have to write the co-ordinates of the given points. Then by following the below given step by step process you can get the clear solution.

Complete step-by-step answer:
\[X\] axes: The horizontal axes in the Cartesian plane is known as the \[X\]– axes.
\[Y\] axes: The vertical axes in the Cartesian plane is known as the \[Y\]– axes.

A) Lying on both axes.
If a point lies on \[x\]–axes, then the \[y\] co–ordinate will be zero. In the same way, If a point lies on \[y\]– axes, then the \[x\] co–ordinate will be zero. Therefore, the point is \[({\text{ 0,0 )}}\].

B) Lying on \[x\] axes and with \[x\] co–ordinates 4.
If a point lies on \[x\] – axes, then the \[y\] co–ordinate will be zero. Given that the \[x\] co–ordinate is 4. Therefore, the point is \[({\text{ 4,0 )}}\].

C) Lying on \[y\] axes and with \[y\] co–ordinates -3.
If a point lies on \[y\]–axes, then the \[x\] co–ordinate will be zero. Given that the \[y\] co–ordinate is\[ - 3\]. Therefore, the point is \[({\text{ 0, - 3 )}}\].

Note:The \[x\] co–ordinate can also be called the “abscissa”. The \[y\] co–ordinate can also be called the “ordinate”. Cartesian plane: A Cartesian plane co–ordinate system is a co–ordinate system that specifies each point uniquely in a plane by a set of numerical co–ordinates, which are the signed distances to the point from two fixed perpendicular oriented lines, measured in the same unit of length.