Write the coordinates of the points marked on the axes in the figure.
(N/A) You can see that:
$(i)$ The point $A$ is at a distance of $+4$ units from the $y$-axis and at a distance of $0$ from the $x$-axis. Therefore,the $x$-coordinate of $A$ is $4$ and the $y$-coordinate is $0$. Hence,the coordinates of $A$ are $(4, 0)$.
(ii) The point $B$ is on the $y$-axis at a distance of $3$ units from the origin. Therefore,the $x$-coordinate is $0$ and the $y$-coordinate is $3$. Hence,the coordinates of $B$ are $(0, 3)$.
(iii) The point $C$ is on the $x$-axis at a distance of $5$ units to the left of the origin. Therefore,the $x$-coordinate is $-5$ and the $y$-coordinate is $0$. Hence,the coordinates of $C$ are $(-5, 0)$.
(iv) The point $D$ is on the $y$-axis at a distance of $4$ units below the origin. Therefore,the $x$-coordinate is $0$ and the $y$-coordinate is $-4$. Hence,the coordinates of $D$ are $(0, -4)$.
$(v)$ The point $E$ is on the $x$-axis at a distance of $\frac{2}{3}$ units from the origin. Therefore,the $x$-coordinate is $\frac{2}{3}$ and the $y$-coordinate is $0$. Hence,the coordinates of $E$ are $(\frac{2}{3}, 0)$.
$(i)$ The point $A$ is at a distance of $+4$ units from the $y$-axis and at a distance of $0$ from the $x$-axis. Therefore,the $x$-coordinate of $A$ is $4$ and the $y$-coordinate is $0$. Hence,the coordinates of $A$ are $(4, 0)$.
(ii) The point $B$ is on the $y$-axis at a distance of $3$ units from the origin. Therefore,the $x$-coordinate is $0$ and the $y$-coordinate is $3$. Hence,the coordinates of $B$ are $(0, 3)$.
(iii) The point $C$ is on the $x$-axis at a distance of $5$ units to the left of the origin. Therefore,the $x$-coordinate is $-5$ and the $y$-coordinate is $0$. Hence,the coordinates of $C$ are $(-5, 0)$.
(iv) The point $D$ is on the $y$-axis at a distance of $4$ units below the origin. Therefore,the $x$-coordinate is $0$ and the $y$-coordinate is $-4$. Hence,the coordinates of $D$ are $(0, -4)$.
$(v)$ The point $E$ is on the $x$-axis at a distance of $\frac{2}{3}$ units from the origin. Therefore,the $x$-coordinate is $\frac{2}{3}$ and the $y$-coordinate is $0$. Hence,the coordinates of $E$ are $(\frac{2}{3}, 0)$.
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Similar Questions
Write the answer to each of the following questions:
$(i)$ What is the name of the horizontal and the vertical lines drawn to determine the position of any point in the Cartesian plane?
$(ii)$ What is the name of each part of the plane formed by these two lines?
$(iii)$ Write the name of the point where these two lines intersect.
$(i)$ What is the name of the horizontal and the vertical lines drawn to determine the position of any point in the Cartesian plane?
$(ii)$ What is the name of each part of the plane formed by these two lines?
$(iii)$ Write the name of the point where these two lines intersect.
Easy
View SolutionSee the figure and complete the following statements:
$(i)$ The abscissa and the ordinate of the point $B$ are ......... and ......... respectively. Hence,the coordinates of $B$ are (.........,.........)
$(ii)$ The $x$-coordinate and the $y$-coordinate of the point $M$ are ......... and ......... respectively. Hence,the coordinates of $M$ are (.........,.........)
$(iii)$ The $x$-coordinate and the $y$-coordinate of the point $L$ are ......... and ......... respectively. Hence,the coordinates of $L$ are (.........,.........)
$(iv)$ The $x$-coordinate and the $y$-coordinate of the point $S$ are ......... and ......... respectively. Hence,the coordinates of $S$ are (.........,.........)
$(i)$ The abscissa and the ordinate of the point $B$ are ......... and ......... respectively. Hence,the coordinates of $B$ are (.........,.........)
$(ii)$ The $x$-coordinate and the $y$-coordinate of the point $M$ are ......... and ......... respectively. Hence,the coordinates of $M$ are (.........,.........)
$(iii)$ The $x$-coordinate and the $y$-coordinate of the point $L$ are ......... and ......... respectively. Hence,the coordinates of $L$ are (.........,.........)
$(iv)$ The $x$-coordinate and the $y$-coordinate of the point $S$ are ......... and ......... respectively. Hence,the coordinates of $S$ are (.........,.........)
Medium
View SolutionPlot the following ordered pairs $(x, y)$ of numbers as points in the Cartesian plane. Use the scale $1\,cm = 1$ unit on the axes.
$x$ $-3$ $0$ $-1$ $4$ $2$ $y$ $7$ $-3.5$ $-3$ $4$ $-3$
| $x$ | $-3$ | $0$ | $-1$ | $4$ | $2$ |
|---|---|---|---|---|---|
| $y$ | $7$ | $-3.5$ | $-3$ | $4$ | $-3$ |
Easy
View Solution(Street Plan) : $A$ city has two main roads which cross each other at the centre of the city. These two roads are along the North-South direction and East-West direction. All the other streets of the city run parallel to these roads and are $200 \,m$ apart. There are $5$ streets in each direction. Using $1 \,cm = 200 \,m$,draw a model of the city on your notebook. Represent the roads/streets by single lines. There are many cross-streets in your model. $A$ particular cross-street is made by two streets,one running in the North-South direction and another in the East-West direction. Each cross-street is referred to in the following manner: If the $2^{nd}$ street running in the North-South direction and $5^{th}$ in the East-West direction meet at some crossing,then we will call this cross-street $(2, 5).$ Using this convention,find:
$(i)$ how many cross-streets can be referred to as $(4, 3).$
$(ii)$ how many cross-streets can be referred to as $(3, 4).$
$(i)$ how many cross-streets can be referred to as $(4, 3).$
$(ii)$ how many cross-streets can be referred to as $(3, 4).$
Medium
View SolutionPlot the points $(x, y)$ given in the following table on the plane,choosing suitable units of distance on the axes.
$x$ $-2$ $-1$ $0$ $1$ $3$ $y$ $8$ $7$ $-1.25$ $3$ $-1$
| $x$ | $-2$ | $-1$ | $0$ | $1$ | $3$ |
| $y$ | $8$ | $7$ | $-1.25$ | $3$ | $-1$ |
Easy
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