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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
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, 3), (2, 3), (3, 3), (4, 3)
Decide which of the following statements is true and which is false. Give reasons for your answer.
The coordinates of the origin are (0, 0).
In the point (4, 7), 4 denotes the ______.
The distance of any point from the x-axis is called the x-coordinate.
The distance of the point (3, 5) from the y-axis is 5.
The y-coordinate of any point lying on the x-axis will be zero.
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 x-coordinate (abscissa) of the given point.
(7, 3)
The graph given below compares the price (in Rs) and weight of 6 bags (in kg) of sugar of different brands A, B, C, D, E, F.
- Which brand(s) costs/cost more than Brand D?
- Bag of which brand of sugar is the heaviest?
- Which brands weigh the same?
- Which brands are heavier than brand B?
- Which bag is the lightest?
- Which bags are of the same price?
