मराठी

Make a line graph for the area of a square as per the given table. Side (in cm) 1 2 3 4 Area (in cm2) 1 4 9 16 Is it a linear graph? - Mathematics

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प्रश्न

Make a line graph for the area of a square as per the given table.

Side (in cm) 1 2 3 4
Area (in cm2) 1 4 9 16

Is it a linear graph?

आलेख

उत्तर


Yes, it is a linear graph.

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पाठ 12: Introduct To Graphs - Exercise [पृष्ठ ३८०]

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एनसीईआरटी एक्झांप्लर Mathematics [English] Class 8
पाठ 12 Introduct To Graphs
Exercise | Q 45. | पृष्ठ ३८०

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संबंधित प्रश्‍न

The coordinates of a point at a distance of 3 units from the x axis and 6 units from the y axis is ______.


All points with y-coordinate as zero lie on the ______.


A point has 5 as its x–coordinate and 4 as its y–coordinate. Then the coordinates of the point are given by ______.


For fixing a point on the graph sheet we need two coordinates.


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.

The graph given below compares the sales of ice creams of two vendors for a week.


Observe the graph and answer the following questions.

  1. Which vendor has sold more icecreams on Friday?
  2. For which day was the sales same for both the vendors?
  3. On which day did the sale of vendor A increase the most as compared to the previous day?
  4. On which day was the difference in sales the maximum?
  5. On which two days was the sales same for vendor B?

Observe the given graph carefully and complete the table given below.

x 1 2 3 4 5
y          


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.

  1. In which year was the dropout the rate highest? In which year was it the lowest?
  2. When did the per cent of students who dropped out of high school first fall below 5%?
  3. 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.


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.

Use the graphs to determine whether each statement is true or false, and explain your answer.

  1. The older car is less valuable.
  2. The faster car is larger.
  3. The larger car is older.
  4. The faster car is older.
  5. The more valuable car is slower.

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