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प्रश्न
Explain the situations represented by the following distance-time graph.
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उत्तर
Here x-axis represents time and y-axis represents distance.
In the first graph, we observe that when time changes, distance also varies at the same rate.
When we move along time axis away from the origin, then the graph is strictly increasing.
Hence, the object is moving at a uniform speed.
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संबंधित प्रश्न
State whether True or False. Correct those are false.
A point whose y coordinate is zero and x-coordinate is 5 will lie on y-axis.
Plot the points (5, 0), (5, 1), (5, 8). Do they lie on a line? What is your observation?
In the point (2, 3), 3 denotes the y-coordinate.
The points (3, 5) and (5, 3) represent the same point.
The y-coordinate of any point lying on the x-axis will be zero.
Plot the given points on a graph sheet and check if the points lie on a straight line. If not, name the shape they form when joined in the given order.
(1, 2), (2, 4), (3, 6), (4, 8)
The following table gives the growth chart of a child.
| Height (in cm) | 75 | 90 | 110 | 120 | 130 |
| Age (in years) | 2 | 4 | 6 | 8 | 10 |
Draw a line graph for the table and answer the questions that follow.
- What is the height at the age of 5 years?
- How much taller was the child at the age of 10 than at the age of 6?
- Between which two consecutive periods did the child grow more faster?
A man started his journey on his car from location A and came back. The given graph shows his position at different times during the whole journey.
- At what time did he start and end his journey?
- What was the total duration of journey?
- Which journey, forward or return, was of longer duration?
- For how many hours did he not move?
- At what time did he have the fastest speed?
Observe the given graph carefully and complete the table given below.
| x | 1 | 2 | 3 | 4 | 5 |
| y |
Sonal and Anmol made a sequence of tile designs from square white tiles surrounding one square purple tile. The purple tiles come in many sizes. Three of the designs are shown below.
(a) Copy and complete the table
| Side Length of Purple Titles | 1 | 2 | 3 | 4 | 5 | 10 | 100 |
| Number of white Tiles in Border |
 |
 |
 |
(b) Draw a graph using the first five pairs of numbers in your table.
(c) Do the points lie on a line?
