Advertisements
Advertisements
Question
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).
Advertisements
Solution
The origin divides each of these axes into a positive and a negative semi-axis. The coordinates of the origin are always are zero, i.e. (0,0). Thus, the statement is true.
APPEARS IN
RELATED QUESTIONS
Locate the points:
(1, 3), (2, 3), (3, 3), (4, 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.
In the point (4, 7), 4 denotes the ______.
The distance of the point (3, 5) from the y-axis is 5.
Write the x-coordinate (abscissa) of the given point.
(5, 7)
Study the graph given below of a person who started from his home and returned at the end of the day. Answer the questions that follow.

- At what time did the person start from his home?
- How much distance did he travel in the first four hours of his journey?
- What was he doing from 3 pm to 5 pm?
- What was the total distance travelled by him throughout the day?
- Calculate the distance covered by him in the first 8 hours of his journey.
- At what time did he cover 16 km of his journey?
- Calculate the average speed of the man from (a) A to B (b) B to C.
- At what time did he return home?
Draw the line graph using suitable scale to show the annual gross profit of a company for a period of five years.
| Year | 1st | 2nd | 3rd | 4th | 5th |
| Gross Profit (in Rs) |
17,00,000 | 15,50,000 | 11,40,000 | 12,10,000 | 14,90,000 |
Consider this input/output table.
| Input | 1 | 2 | 4 | 5 | 7 |
| Output | 2 | 5 | 11 | 14 | 20 |
- Graph the values from the table by taking Input along horizontal axis from 0 to 8 and Output along vertical axis from 0 to 24.
- Use your graph to predict the outputs for inputs of 3 and 8.
The two graphs below compare Car A and Car B. The left graph shows the relationship between age and value. The right graph shows the relationship between size and maximum speed.
![]() |
![]() |
Use the graphs to determine whether each statement is true or false, and explain your answer.
- The older car is less valuable.
- The faster car is larger.
- The larger car is older.
- The faster car is older.
- The more valuable car is slower.


