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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
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)
Find the coordinates of points P, Q, R and S in Fig. 27.8.
The point (3, 4) is at a distance of ______.
The distance of any point from the y-axis is the ______ coordinate.
Match the coordinates given in Column A with the items mentioned in Column B.
| Column A | Column B |
| (1) (0, 5) | (a) y coordinate is 2 × x - coordinate + 1. |
| (2) (2, 3) | (b) Coordinates of origin. |
| (3) (4, 8) | (c) Only y–coordinate is zero. |
| (4) (3, 7) | (d) The distance from x-axis is 5. |
| (5) (0, 0) | (e) y coordinate is double of x-coordinate. |
| (6) (5, 0) | (f) The distance from y-axis is 2. |
Write the y-coordinate (ordinate) of the given point.
(3, 5)
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.
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?
The following graph shows the journey made by two cyclists, one from town A to B and the other from town B to A.
- At what time did cyclist II rest? How long did the cyclist rest?
- Was cyclist II cycling faster or slower after the rest?
- At what time did the two cyclists meet?
- How far had cyclist II travelled when he met cyclist I?
- When cyclist II reached town A, how far was cyclist I from town B?
