Chapter 12: Introduction to Graphs

Example 1 : Every point on the x axis is of the form.
(a) (0, y) (b) (x, 0) (c) (x, y) (d) (x, 1)
Solution : The correct answer is (b).

Example 2 : The given graph shows Nisha’s trip to a mall by a car. Observe the graph carefully and find what was she doing between 5 pm and 7 pm?
(a) Driving to the mall. (b) Driving back home.   Photo
(c) Was not driving. (d) Not enough data to answer.
Solution : The correct answer is (c).

1. Comparison of parts of a whole may be done by a
(a) bar graph (b) pie chart (c) linear graph (d) line graph
2. A graph that displays data that changes continuously over periods of time is
(a) bar graph (b) pie chart (c) histogram (d) line graph
3. In the given graph the coordinates of point x are
(a) (0, 2) (b) (2, 3) (c) (3, 2) (d) (3, 0)

4. In the given graph the letter that indicates the point (0, 3) is
(a) P (b) Q (c) R (d) S
5. The point (3, 4) is at a distance of
(a) 3 from both the axis (b) 4 from both the axis
(c) 4 from the x axis and (d) 3 from x axis and 3 from y axis from y axis
6. A point which lies on both the axis is __________
(a) (0, 0) (b) (0, 1) (c) (1, 0) (d) (1, 1)

7. The coordinates of a point at a distance of 3 units from the x axis and 6 units from the y axis is
(a) (0, 3) (b) (6, 0) (c) (3, 6) (d) (6, 3)
8. In the given figure the position of the book on the table may be given by
(a) (7, 3) (b) (3, 7)
(c) (3, 3) (d) (7, 7)

9. Data was collected on a student’s typing rate and graph was drawn as shown below. Approximately how many words had this student typed in 30 seconds?
(a) 20 (b) 24 (c) 28 (d) 34

Fill in the blanks to make the statements true.
11. __________ displays data that changes continuously over periods of time.
12. The relation between dependent and independent variables is shown through a __________.
13. We need __________ coordinates for representing a point on the graph sheet.
14. A point in which the x-coordinate is zero and y-coordinate is non- zero will lie on the _________
15. The horizontal and vertical line in a line graph are usually called__________ and __________.
16. The process of fixing a point with the help of the coordinates is known as __________ of the point.
17. The distance of any point from the y -axis is the __________ coordinate.
18. All points with y -coordinate as zero lie on the __________.
19. For the point (5, 2), the distance from the x -axis is __________ units.
20. The x -coordinate of any point lying on the y -axis will be __________.
21. The y -coordinate of the point (2, 4) is __________.
22. In the point (4, 7), 4 denotes the __________.

23. A point has 5 as its x –coordinate and 4 as its y –coordinate. Then the coordinates of the point are given by __________.
24. In the coordinates of a point, the second number denotes the__________.
25. The point where the two axes intersect is called the __________.