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The Following Table Gives the Information Regarding Length of a Side of a Square and Its Area: - Mathematics

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प्रश्न

The following table gives the information regarding length of a side of a square and its area:

Length of a side (in cm): 1 2 3 4 5
Area of square (in cm2): 1 4 9 16 25

Draw a graph to illustrate this information.

थोडक्यात उत्तर

उत्तर

Here, length of a side is an independent variable and area of square is a dependent variable. So, we take length of a side on the x-axis and area of square on the y-axis.
Let us choose the following scale:
On x-axis: 2 cm = 1 cm
On y-axis: 1 cm = 2 cm2
Now we plot (1,1), (2,4), (3,9), (4,16), (5,25). These points are joined to get the graph representing the given information as shown in the figure below.​

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पाठ 27: Introduction to Graphs - Exercise 27.2 [पृष्ठ १५]

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आरडी शर्मा Mathematics [English] Class 8
पाठ 27 Introduction to Graphs
Exercise 27.2 | Q 4 | पृष्ठ १५

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संबंधित प्रश्‍न

Locate the points:

(1, 1), (1, 2), (1, 3), (1, 4)


Decide which of the following statement is true and which is false. Give reasons for your answer.

 A point whose x-coordinate is zero, will lie on the y-axis.


In the given graph the coordinates of point x are ______.


The distance of any point from the x-axis is called the x-coordinate.


In the point (2, 3), 3 denotes the y-coordinate.


Match the ordinates of the points given in Column A with the items mentioned in Column B.

Column A Column B
(a) (7, 0) (i) The ordinate is double the abscissa.
(b) (11, 11) (ii) The ordinate is zero.
(c) (4, 8) (iii) The ordinate is equal to the abscissa.
(d) (6, 2) (iv) The abscissa is double the ordinate.
(e) (0, 9) (v) The abscissa is triple the ordinate.
(f) (6, 3) (vi) The abscissa is zero.

Write the x-coordinate (abscissa) of the given point.

(7, 3)


Explain the situations represented by the following distance-time graph.


Study the graph given below of a person who started from his home and returned at the end of the day. Answer the questions that follow.

  1. At what time did the person start from his home?
  2. How much distance did he travel in the first four hours of his journey?
  3. What was he doing from 3 pm to 5 pm?
  4. What was the total distance travelled by him throughout the day?
  5. Calculate the distance covered by him in the first 8 hours of his journey.
  6. At what time did he cover 16 km of his journey?
  7. Calculate the average speed of the man from (a) A to B (b) B to C.
  8. At what time did he return home?

Extend the line segment on both sides to meet the coordinate axes. What are the coordinates of the points where this line meets the x-axis and the y-axis?


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