RD Sharma - Mathematics

Book: RD Sharma - Mathematics

Chapter: 27. Introduction to Graphs

Subject: Maths - Class 8th

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Chapter Exercises

Exercise 27.1
Exercise 27.2

Exercise 27.1

1

Plot the points (5,0), (5,1), (5,8). Do thy lie on a line? What is your observation?
2

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?
3

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,)
4

Find the coordinates of points A, B, C, D in Fig. 27.7
5

Find the coordinates of points P, Q, R and S in Fig. 27.8.
6

Write the coordinates of each of the vertices of each polygon in Fig. 27.9.
7

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.

Exercise 27.2

1

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.
2

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.
3

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.
4

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.
5

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.
6

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
7

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
8

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
9

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.