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प्रश्न
Plot the points (5, 0), (5, 1), (5, 8). Do they lie on a line? What is your observation?
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उत्तर
Take a point O on the graph paper and draw horizontal and vertical lines OX and OY respectively.
Then, let on the x-axis and y axis 1 cm represents 1 unit.
In order to plot point (5, 0), we start from the origin O and move 5 cm along OX. The point we arrive at is point (5,0).
To plot point (5, 1), we move 5 cm along OX and 1 cm along OY. The point we arrive at is point (5,1).
To plot point (5,8), we move 5 cm along OX and 8 cm along OY. The point we arrive at is point (5,8).
From the graph below, it can be seen that the points lie on a line parallel to y-axis. This is because they have the same x-coordinate.
संबंधित प्रश्न
Find the coordinates of points P, Q, R and S in Fig. 27.8.
Write the coordinates of each of the vertices of each polygon in Fig. 27.9.
The distance of any point from the y-axis is the ______ coordinate.
The y-coordinate of any point lying on the x-axis will be zero.
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.
Consider this input/output table.
| Input | 1 | 2 | 4 | 5 | 7 |
| Output | 2 | 5 | 11 | 14 | 20 |
- Graph the values from the table by taking Input along horizontal axis from 0 to 8 and Output along vertical axis from 0 to 24.
- Use your graph to predict the outputs for inputs of 3 and 8.
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.
