Locate the points $(5, 0)$,$(0, 5)$,$(2, 5)$,$(5, 2)$,$(-3, 5)$,$(-3, -5)$,$(5, -3)$ and $(6, 1)$ in the Cartesian plane.
(N/A) To locate the points in the Cartesian plane,we follow these steps:
$1$. Draw the $x$-axis and $y$-axis on a graph paper,intersecting at the origin $O(0, 0)$.
$2$. Choose a suitable scale,for example,$1 \text{ cm} = 1 \text{ unit}$.
$3$. For each point $(x, y)$,start from the origin $O$. Move $x$ units along the $x$-axis (right if $x > 0$,left if $x < 0$) and then move $y$ units parallel to the $y$-axis (up if $y > 0$,down if $y < 0$).
$4$. The positions of the given points are plotted as follows:
- $(5, 0)$: On the $x$-axis,$5$ units to the right of the origin.
- $(0, 5)$: On the $y$-axis,$5$ units above the origin.
- $(2, 5)$: $2$ units right and $5$ units up.
- $(5, 2)$: $5$ units right and $2$ units up.
- $(-3, 5)$: $3$ units left and $5$ units up.
- $(-3, -5)$: $3$ units left and $5$ units down.
- $(5, -3)$: $5$ units right and $3$ units down.
- $(6, 1)$: $6$ units right and $1$ unit up.
$1$. Draw the $x$-axis and $y$-axis on a graph paper,intersecting at the origin $O(0, 0)$.
$2$. Choose a suitable scale,for example,$1 \text{ cm} = 1 \text{ unit}$.
$3$. For each point $(x, y)$,start from the origin $O$. Move $x$ units along the $x$-axis (right if $x > 0$,left if $x < 0$) and then move $y$ units parallel to the $y$-axis (up if $y > 0$,down if $y < 0$).
$4$. The positions of the given points are plotted as follows:
- $(5, 0)$: On the $x$-axis,$5$ units to the right of the origin.
- $(0, 5)$: On the $y$-axis,$5$ units above the origin.
- $(2, 5)$: $2$ units right and $5$ units up.
- $(5, 2)$: $5$ units right and $2$ units up.
- $(-3, 5)$: $3$ units left and $5$ units up.
- $(-3, -5)$: $3$ units left and $5$ units down.
- $(5, -3)$: $5$ units right and $3$ units down.
- $(6, 1)$: $6$ units right and $1$ unit up.
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Similar Questions
Write the coordinates of the points marked on the axes in the figure.
Easy
View SolutionSee the figure and write the following:
$(i)$ The coordinates of $B$.
$(ii)$ The coordinates of $C$.
$(iii)$ The point identified by the coordinates $(-3, -5)$.
$(iv)$ The point identified by the coordinates $(2, -4)$.
$(v)$ The abscissa of the point $D$.
$(vi)$ The ordinate of the point $H$.
$(vii)$ The coordinates of the point $L$.
$(viii)$ The coordinates of the point $M$.
$(i)$ The coordinates of $B$.
$(ii)$ The coordinates of $C$.
$(iii)$ The point identified by the coordinates $(-3, -5)$.
$(iv)$ The point identified by the coordinates $(2, -4)$.
$(v)$ The abscissa of the point $D$.
$(vi)$ The ordinate of the point $H$.
$(vii)$ The coordinates of the point $L$.
$(viii)$ The coordinates of the point $M$.
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 SolutionWrite 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 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
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