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प्रश्न
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.
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उत्तर
Given, points are A(1, 2), B(4, 2) and C(1, 4).
Location of given points on the graph given below.
To complete the rectangle ABCD, the coordinates of the fourth point D will be (4, 4), i.e. D(4, 4).
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संबंधित प्रश्न
The distance of any point from the x-axis is called the x-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. |
Study the given map of a zoo and answer the following questions.
- Give the location of lions in the zoo.
- (D, f) and (C, d) represent locations of which animals in the zoo?
- Where are the toilets located?
- Give the location of canteen.
Write the x-coordinate (abscissa) of the given point.
(7, 3)
Write the x-coordinate (abscissa) of the given point.
(5, 7)
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.
Observe the given graph carefully and complete the table given below.
| x | 1 | 2 | 3 | 4 | 5 |
| y |
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.
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.
The two graphs below compare Car A and Car B. The left graph shows the relationship between age and value. The right graph shows the relationship between size and maximum speed.
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Use the graphs to determine whether each statement is true or false, and explain your answer.
- The older car is less valuable.
- The faster car is larger.
- The larger car is older.
- The faster car is older.
- The more valuable car is slower.
