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प्रश्न
This graph shows a map of an island just off the coast of a continent. The point labelled B represents a major city on the coast. The distance between grid lines represents 1 km.
Point A represents a resort that is located 5 km East and 3 km North of Point B. The values 5 and 3 are the coordinates of Point A. The coordinates can be given as the ordered pair (5, 3), where 5 is the horizontal coordinate and 3 is the vertical coordinate.
(i) On a copy of the map, mark the point that is 3 km East and 5 km North of Point B and label it S. Is Point S in the water or on the island? Is Point S in the same place as Point A?
(ii) Mark the point that is 7 km east and 5 km north of Point B and label it C. Then mark the point that is 5 km east and 7 km north of Point B and label it D. Are Points C and D in the same place? Give the coordinates of Points C and D.
(iii) Which point is in the water, (2, 7) or (7, 2)? Mark the point which is in water on your map and label it E.
(iv) Give the coordinates of two points on the island that are exactly 2 km from Point A.
(v) Give the coordinates of the point that is halfway between Points L and P.
(vi) List three points on the island with their x-coordinates greater than 8.
(vii) List three points on the island with a y-coordinate less than 4.
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उत्तर
(i) The points is in the water. No, it is not in the same place as point A
(ii) No, they are not in the same place. The coordinates of points C and D are (7, 5) and (5, 7), respectively.
(iii) (2, 7) is in the water.
(iv) (7, 3), (5, 5)
(v) (8.5, 3)
(vi) (9, 4), (10, 4), (11, 5)
(vii) (5, 3), (6, 2), (7, 2)
Notes
Answer for option (vi) and (vii) may vary from student to student
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संबंधित प्रश्न
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In the point (4, 7), 4 denotes the ______.
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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, 2), (2, 4), (3, 6), (4, 8)
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.
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?
The following is the time-distance graph of Sneha’s walking.
- When does Sneha make the least progress? Explain your reasoning.
- Find her average speed in km/hour.
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.
