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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.
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?
Locate the points:
(1, 4), (2, 4), (3, 4), (4, 4).
For the point (5, 2), the distance from the x-axis is ______ units.
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. |
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, 1), (1, 2), (2, 1), (2, 2)
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 given below shows the temperatures recorded on a day at different times.
Observe the table and answer the following questions.
- What is the temperature at 8 am?
- At what time is the temperature 3°C?
- During which hour did the temperature fall?
- What is the change in temperature between 7 am and 10 am?
- During which hour was there a constant temperature?
Extend the line segment on both sides to meet the coordinate axes. What are the coordinates of the points where this line meets the x-axis and the y-axis?
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.
