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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.
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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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 ______.
______ displays data that changes continuously over periods of time.
A point in which the x-coordinate is zero and y-coordinate is non-zero will lie on the ______.
The y-coordinate of the point (2, 4) is ______.
The ordinate of a point is its distance from the y-axis.
The points (3, 5) and (5, 3) represent the same point.
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. |
Draw the line graph using suitable scale to show the annual gross profit of a company for a period of five years.
| Year | 1st | 2nd | 3rd | 4th | 5th |
| Gross Profit (in Rs) |
17,00,000 | 15,50,000 | 11,40,000 | 12,10,000 | 14,90,000 |
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.
Sonal and Anmol made a sequence of tile designs from square white tiles surrounding one square purple tile. The purple tiles come in many sizes. Three of the designs are shown below.
(a) Copy and complete the table
| Side Length of Purple Titles | 1 | 2 | 3 | 4 | 5 | 10 | 100 |
| Number of white Tiles in Border |
 |
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(b) Draw a graph using the first five pairs of numbers in your table.
(c) Do the points lie on a line?
