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प्रश्न
Explain the situations represented by the following distance-time graph.
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
Draw the line passing through (2, 3) and (3, 2). Find the coordinates of the points at which this line meets the x-axis and y-axis.
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.
The distance of any point from the y-axis is the ______ coordinate.
The points (3, 5) and (5, 3) represent the same point.
Match the ordinates of the points given in Column A with the items mentioned in Column B.
| Column A | Column B |
| (a) (7, 0) | (i) The ordinate is double the abscissa. |
| (b) (11, 11) | (ii) The ordinate is zero. |
| (c) (4, 8) | (iii) The ordinate is equal to the abscissa. |
| (d) (6, 2) | (iv) The abscissa is double the ordinate. |
| (e) (0, 9) | (v) The abscissa is triple the ordinate. |
| (f) (6, 3) | (vi) The abscissa is zero. |
From the given graph, choose the letters that indicate the location of the points given below.
- (2, 0)
- (0, 4)
- (5, 1)
- (2, 6)
- (3, 3)
Write the y-coordinate (ordinate) of the given point.
(2, 7)
Draw a parallelogram ABCD on a graph paper with the coordinates given in Table I. Use this table to complete Tables II and III to get the coordinates of E, F, G, H and J, K, L, M.
| Point | (x, y) |
| A | (1, 1) |
| B | (4. 4) |
| C | (8, 4) |
| D | (5, 1) |
Table I
| Point | (0.5x, 0.5y) |
| E | (0.5, 0.5) |
| F | |
| G | |
| H |
Table II
| Point | (2x, 1.5y) |
| J | (2, 1.5) |
| K | |
| L | |
| M |
Table III
Draw parallelograms EFGH and JKLM on the same graph paper.
Plot the points (2, 4) and (4, 2) on a graph paper, then draw a line segment joining these two points.
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 |
The points on the graph below represent the height and weight of the donkey, dog, crocodile, and ostrich shown in the drawing.
- What are the two variables represented in the graph?
- Which point represents each animals? Explain.
