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

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.