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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.
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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
Draw the line passing through (2, 3) and (3, 2). Find the coordinates of the points at which this line meets the x-axis and y-axis.
Locate the points:
(1, 4), (2, 4), (3, 4), (4, 4).
The point (3, 4) is at a distance of ______.
For the point (5, 2), the distance from the x-axis is ______ units.
For fixing a point on the graph sheet we need two coordinates.
The coordinates of the origin are (0, 0).
Write the y-coordinate (ordinate) of the given point.
(4, 0)
The following table gives the growth chart of a child.
| Height (in cm) | 75 | 90 | 110 | 120 | 130 |
| Age (in years) | 2 | 4 | 6 | 8 | 10 |
Draw a line graph for the table and answer the questions that follow.
- What is the height at the age of 5 years?
- How much taller was the child at the age of 10 than at the age of 6?
- Between which two consecutive periods did the child grow more faster?
Draw a parallelogram ABCD on a graph paper with the coordinates given in Table I. Use this table to complete Tables II and III to get the coordinates of E, F, G, H and J, K, L, M.
| Point | (x, y) |
| A | (1, 1) |
| B | (4. 4) |
| C | (8, 4) |
| D | (5, 1) |
Table I
| Point | (0.5x, 0.5y) |
| E | (0.5, 0.5) |
| F | |
| G | |
| H |
Table II
| Point | (2x, 1.5y) |
| J | (2, 1.5) |
| K | |
| L | |
| M |
Table III
Draw parallelograms EFGH and JKLM on the same graph paper.
Plot the points (2, 4) and (4, 2) on a graph paper, then draw a line segment joining these two points.
