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प्रश्न
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.
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उत्तर
The examples of points having equal x and y coordinates are (0,0), (1,1), (2,2), etc. If these points are joined, they will lie on a line passing through the coordinates (0,0). Thus, the statement is true.
संबंधित प्रश्न
Write the coordinates of the vertices of each of these adjoining figures.
Locate the points:
(1, 3), (2, 3), (3, 3), (4, 3)
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.
A point in which the x-coordinate is zero and y-coordinate is non-zero will lie on the ______.
For the point (5, 2), the distance from the x-axis is ______ units.
Make a line graph for the area of a square as per the given table.
| Side (in cm) | 1 | 2 | 3 | 4 |
| Area (in cm2) | 1 | 4 | 9 | 16 |
Is it a linear graph?
Locate the points A(1, 2), B(4, 2) and C(1, 4) on a graph sheet taking suitable axes. Write the coordinates of the fourth point D to complete the rectangle ABCD.
The graph given below compares the sales of ice creams of two vendors for a week.
Observe the graph and answer the following questions.
- Which vendor has sold more icecreams on Friday?
- For which day was the sales same for both the vendors?
- On which day did the sale of vendor A increase the most as compared to the previous day?
- On which day was the difference in sales the maximum?
- On which two days was the sales same for vendor B?
The table shows the data collected for Dhruv’s walking on a road.
| Time (in minutes) |
0 | 5 | 10 | 15 | 20 | 25 |
| Distance (in km) |
0 | 0.5 | 1 | 1.25 | 1.5 | 1.75 |
- Plot a line graph for the given data using a suitable scale.
- In what time periods did Dhruv make the most progress?
