Introduction to Graphs Maths - Introduction to Graphs

Decide which of the following statements is true and which is false. Give reasons for your answer.
The coordinates of the origin are (0, 0).

Decide which of the following statements is true and which is false. Give reasons for your answer.
Points whose x and y coordinates are equal, lie on a line passing through the origin.

Find the coordinates of points A, B, C, D in Figure.

Decide which of the following statements is true and which is false. Give reasons for your answer.
A point whose x-coordinate is zero, will lie on the y-axis.

Decide which of the following statements is true and which is false. Give reasons for your answer.
A point whose y-coordinate is zero, will lie on x-axis.

Find the coordinates of points P, Q, R and S in Figure.

The runs scored by a cricket team in first 15 overs are given below:

Overs:	I	II	III	IV	V	VI	VII	VIII	IX	X	XI	XII	XIII	XIV	XV
Runs:	2	1	4	2	6	8	10	21	5	8	3	2	6	8	12

Draw the graph representing the above data in two different ways as a graph and as a bar chart.

The following table shows the number of patients discharged from a hospital with HIV diagnosis in different years:

Years:	2002	2003	2004	2005	2006
Number of patients:	150	170	195	225	230

The runs scored by two teams A and B in first 10 overs are given below:

Overs:	I	II	III	IV	V	VI	VII	VIII	IX	X
Team A:	2	1	8	9	4	5	6	10	6	2
Team B:	5	6	2	10	5	6	3	4	8	10

Draw a graph depicting the data, making the graphs on the same axes in each case in two different ways as a graph and as a bar chart.

Locate the points:

1. (1, 1), (1, 2), (1, 3), (1, 4)
2. (2, 1), (2, 2), (2, 3), (2, 4)
3. (1, 3), (2, 3), (3, 3), (4, 3)
4. (1, 4), (2, 4), (3, 4), (4, 4).

Plot the points (5, 0), (5, 1), (5, 8). Do they lie on a line? What is your observation?

Plot the points (2, 8), (7, 8) and (12, 8). Join these points in pairs. Do they lie on a line? What do you observe?