Advertisements
Advertisements
Question
On a graph paper plot the points A (3, 0), B(3, 3), C(0, 3). Join A, B and B, C. What is the figure formed?
Advertisements
Solution
The given points are A(3, 0), B(3, 3) and C(0, 3). These points can be plotted on the co-ordinate plane as follows:

The x co-ordinate of point is its distance from the Y-axis and y co-ordinate of point is its distance from the X-axis.
Here, OA = AB = BC = OC = 3 units
Therefore, the figure formed is a square.
APPEARS IN
RELATED QUESTIONS
In which quadrant or on which axis do each of the points (– 2, 4), (3, – 1), (– 1, 0), (1, 2) and (– 3, – 5) lie? Verify your answer by locating them on the Cartesian plane.
Plot 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 |
Write the equation of the line parallel to the Y-axis at a distance of 7 units from it to its left.
Some points are shown in the following figure. With the help of it answer the following questions:

- Write the co-ordinates of the points Q and R.
- Write the co-ordinates of the points T and M.
- Which point lies in the third quadrant?
- Which are the points whose x and y co-ordinates are equal?
Write down the abscissa and ordinate of the following.
P
Write down the abscissa and ordinate of the following.
Q
Write down the abscissa and ordinate of the following.
R
Write down the abscissa and ordinate of the following.
S
Plot the following points in the coordinate plane. Join them in order. What type of geometrical shape is formed?
(−3, 3) (2, 3) (−6, −1) (5, −1)
On plotting the points O(0, 0), A(3, 0), B(3, 4), C(0, 4) and joining OA, AB, BC and CO which of the following figure is obtained?
Find the quadrants without plotting the point on a graph sheet.
(5, 7)
Plot the following point in a graph sheet.
D(−1, −1)
Find the quadrants without plotting the point on a graph sheet.
(−8, 0)
Find the quadrants without plotting the point on a graph sheet.
(0, 10)
Plot the following points and write the name of the figure obtained by joining them in order:
P(– 3, 2), Q(– 7, – 3), R(6, – 3), S(2, 2)
Plot the following points and check whether they are collinear or not:
(1, 3), (– 1, – 1), (– 2, – 3)
Points A(5, 3), B(– 2, 3) and D(5, – 4) are three vertices of a square ABCD. Plot these points on a graph paper and hence find the coordinates of the vertex C.
From the figure, answer the following:
Write the points whose abscissa is – 5.
