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प्रश्न
The following table gives the information regarding length of a side of a square and its area:
| Length of a side (in cm): | 1 | 2 | 3 | 4 | 5 |
| Area of square (in cm2): | 1 | 4 | 9 | 16 | 25 |
Draw a graph to illustrate this information.
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उत्तर
Here, length of a side is an independent variable and area of square is a dependent variable. So, we take length of a side on the x-axis and area of square on the y-axis.
Let us choose the following scale:
On x-axis: 2 cm = 1 cm
On y-axis: 1 cm = 2 cm2
Now we plot (1,1), (2,4), (3,9), (4,16), (5,25). These points are joined to get the graph representing the given information as shown in the figure below.
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संबंधित प्रश्न
Plot the following points on a graph sheet. Verify if they lie on a line
A(4, 0), B(4, 2), C(4, 6), D(4, 2.5)
Plot the following points on a graph sheet. Verify if they lie on a line
K(2, 3), L(5, 3), M(5, 5), N(2, 5)
Write the coordinates of each of the vertices of each polygon in Fig. 27.9.
Decide which of the following statements is true and which is false. Give reasons for your answer.
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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 x-coordinate (abscissa) of the given point.
(0, 5)
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 toothpick pattern given below:
(a) Imagine that this pattern continues. Complete the table to show the number of toothpicks in the first six terms.
| Pattern | 1 | 2 | 3 | 4 | 5 | 6 |
| Toothpicks | 4 | 13 |
(b) Make a graph by taking the pattern numbers on the horizontal axis and the number of toothpicks on the vertical axis. Make the horizontal axis from 0 to 10 and the vertical axis from 0 to 30.
(c) Use your graph to predict the number of toothpicks in patterns 7 and 8. Check your answers by actually drawing them.
(d) Would it make sense to join the points on this graph? Explain.
