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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 graph, we observe that initially graph increases steadily i.e. at uniform speed and after a certain period of time, it comes to rest position i.e. constant.
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संबंधित प्रश्न
In the given graph the letter that indicates the point (0, 3) is ______.
In the point (2, 3), 3 denotes the y-coordinate.
If y-coordinate is 3 times x-coordinate, form a table for it and draw a 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 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?
This graph shows a map of an island just off the coast of a continent. The point labelled B represents a major city on the coast. The distance between grid lines represents 1 km.
Point A represents a resort that is located 5 km East and 3 km North of Point B. The values 5 and 3 are the coordinates of Point A. The coordinates can be given as the ordered pair (5, 3), where 5 is the horizontal coordinate and 3 is the vertical coordinate.
(i) On a copy of the map, mark the point that is 3 km East and 5 km North of Point B and label it S. Is Point S in the water or on the island? Is Point S in the same place as Point A?
(ii) Mark the point that is 7 km east and 5 km north of Point B and label it C. Then mark the point that is 5 km east and 7 km north of Point B and label it D. Are Points C and D in the same place? Give the coordinates of Points C and D.
(iii) Which point is in the water, (2, 7) or (7, 2)? Mark the point which is in water on your map and label it E.
(iv) Give the coordinates of two points on the island that are exactly 2 km from Point A.
(v) Give the coordinates of the point that is halfway between Points L and P.
(vi) List three points on the island with their x-coordinates greater than 8.
(vii) List three points on the island with a y-coordinate less than 4.
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?
