Solution of Chapter 27. Introduction to Graphs (RD Sharma - Mathematics Book)
Chapter Exercises
Exercise 27.1
Plot the points (5,0), (5,1), (5,8). Do thy lie on a line? What is your observation?
view answer >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?
view answer >Locate the points :
(i) (1,1), (1,2), (1,3), (1,4)
(ii) (2,1), (2,2), (2,3), (2,4)
(iii) (1,3), (2,3), (3,3), (4,3)
(iv) (1,4), (2,4), (3,4), (4,4,)
view answer >Find the coordinates of points A, B, C, D in Fig. 27.7
Find the coordinates of points P, Q, R and S in Fig. 27.8.
Write the coordinates of each of the vertices of each polygon in Fig. 27.9.
Decide which of the following statements is true and which is false. Give reasons for your answer.
(i) A point whose x-coordinate is zero, will lie on the y-axis.
(ii) A point whose y-coordinate is zero, will lie on x-axis.
(iii) The coordinates of the origin are (0,0).
(iv) Points whose x and y coordinates are equal, lie on a line passing through the origin.
view answer >Exercise 27.2
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 |
Represent this information by a graph.
view answer >The following table shows the amount of rice grown by a farmer in different years:
Years: | 2000 | 2001 | 2002 | 2003 | 2004 | 2005 | 2006 |
Rice grown (in quintals): | 200 | 180 | 240 | 260 | 250 | 200 | 270 |
Plot a graph to illustrate this information.
view answer >The following table gives the information regarding the number of persons employed to a piece of work and time taken to complete the work:
Number of persons: | 2 | 4 | 6 | 8 |
Time taken (in days): | 12 | 6 | 4 | 3 |
Plot a graph of this information.
view answer >The following table gives the information regarding length of a side of a square and its area
Length of a side (in cm) | 1 | 2 | 3 | 4 | 5 |
Area of square (in cm2) | 1 | 4 | 9 | 16 | 25 |
Draw a graph to illustrate this information.
view answer >The following table shows the sales of a commodity during the years 2000 to 2006.
Years | 2000 | 2001 | 2002 | 2003 | 2004 | 2005 | 2006 |
Sales (in lakhs of Rs.) | 1.5 | 1.8 | 2.4 | 3.2 | 5.4 | 7.8 | 8.6 |
Draw a graph of this information.
view answer >Draw the temperature-time graph in each of the following cases:
(i)
Time (in hours) | 7:00 | 9:00 | 11:00 | 13:00 | 15:00 | 17.00 | 19:00 | 21:00 |
Temperature (°F) in | 100 | 101 | 104 | 102 | 100 | 99 | 100 | 98 |
(ii)
Time (in hours) | 8:00 | 10:00 | 12:00 | 14:00 | 16:00 | 18:00 | 20:00 |
Temperature (°F) in | 100 | 101 | 104 | 103 | 99 | 98 | 100 |
Draw the velocity-time graph from the following data :
Time (in hours) | 7:00 | 8:00 | 9:00 | 10:00 | 11:00 | 12.00 | 13:00 | 14:00 |
Speed (in km/hr) | 30 | 45 | 60 | 50 | 70 | 50 | 40 | 45 |
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 |
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.
view answer >