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प्रश्न
Locate the points P(3, 4), Q(1, 0), R(0, 4), S(4, 1) on a graph sheet and write the coordinates of the point of intersection of line segments PQ and RS.
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उत्तर
Observing the graph, we see that the line segments PQ and RS intersect at the point T(2, 2).
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संबंधित प्रश्न
State whether True or False. Correct those are false.
A point whose x coordinate is zero and y-coordinate is non-zero will lie on the y-axis.
Locate the points:
(1, 1), (1, 2), (1, 3), (1, 4)
The x-coordinate of any point lying on the y-axis will be ______.
In the coordinates of a point, the second number denotes the ______.
The point where the two axes intersect is called the ______.
For fixing a point on the graph sheet we need two coordinates.
The distance of the point (3, 5) from the y-axis is 5.
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?
Ajita starts off from home at 07.00 hours with her father on a scooter that goes at a uniform speed of 30 km/h and drops her at her school after half an hour. She stays in the school till 13.30 hours and takes an auto-rickshaw to return home. The rickshaw has a uniform speed of 10 km/h. Draw the graph for the above situation and also determine the distance of Ajita’s school from her house.
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.
