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प्रश्न
Use the graphical method to show that the straight lines given by the equations x + y = 2, x - 2y = 5 and `x/(3) + y = 0` pass through the same point.
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उत्तर
The equations can be written as follows:
y = 2 - x
y = `(1)/(2)(x - 5)`
y = `- x/(3)`
First prepare a table as follows:
| X | Y = 2 - x | Y = `(1)/(2)(x - 5)` | Y = `-x/(3)` |
| - 1 | 3 | - 3 | `(1)/(3)` |
| 0 | 2 | `-(5)/(2)` | 0 |
| 1 | 1 | - 2 | `-(1)/(3)` |
Thus the graph can be drawn as follows:
From the graph it is clear that the equation of lines are passes through the same point.
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संबंधित प्रश्न
The following table gives production yield in kg per hectare of wheat of 100 farms of a village:
| Production yield (kg/hectare): |
40 – 45 | 45 – 50 | 50 – 55 | 55 – 60 | 60 – 65 | 65 – 70 |
| Number of farms | 4 | 6 | 16 | 20 | 30 | 24 |
Change the distribution to 'a more than' type distribution, and draw its ogive.
Draw the graph for the linear equation given below:
x - 5 = 0
Draw the graph for the linear equation given below:
y = 4
Draw the graph for the linear equation given below:
x + 2y = 0
Draw the graph for the linear equation given below:
y = - x + 4
For the linear equation, given above, draw the graph and then use the graph drawn (in the following case) to find the area of a triangle enclosed by the graph and the co-ordinates axes:
3x − (5 − y) = 7
Draw the graph of equation x + 2y - 3 = 0. From the graph, find:
(i) x1, the value of x, when y = 3
(ii) x2, the value of x, when y = - 2.
Draw a graph of each of the following equations: 3x - 2y = 6
Draw a graph of each of the following equations: 5x + 2y = 16
Draw a graph of each of the following equations: `(x - 2)/(3) - (y + 1)/(2)` = 0
