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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
Find the coordinates of points P, Q, R and S in Fig. 27.8.
The point (3, 4) is at a distance of ______.
In the given figure the position of the book on the table may be given by ______.
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- (5, 4)
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- (3, 1)
- (0, 4)
- (4, 5)
Write the x-coordinate (abscissa) of the given point.
(7, 3)
Explain the situations represented by the following distance-time graph.
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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.
This graph shows the per cent of students who dropped out of school after completing High School. The point labelled A shows that, in 1996, about 4.7% of students dropped out.
- In which year was the dropout the rate highest? In which year was it the lowest?
- When did the per cent of students who dropped out of high school first fall below 5%?
- About what per cent of students dropped out of high school in 2007? About what per cent of students stayed in high school in 2008?
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.
