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प्रश्न
For the pair of linear equations given below, draw graphs and then state, whether the lines drawn are parallel or perpendicular to each other.
3x + 4y = 24
`x/(4) + y/(3) = 1`
उत्तर
To draw the graph of 3x + 4y = 24 and `x/(4) + y/(3) = 1` follows the steps:
First prepare a table as below
| X | -1 | 0 | 1 |
| Y = `-(3)/(4) xx + 6` | `(27)/(4)` | 6 | `(21)/(4)` |
| Y = `-(3)/(4) xx + 3` | `(15)/(4)` | 3 | `(9)/(4)` |
Now sketch the graph as shown:
From the graph it can verify that the lines are parallel.
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संबंधित प्रश्न
Draw the graph for the linear equation given below:
x = 0
Draw the graph for the linear equation given below:
5x+ y = 0.
Draw the graph for the linear equation given below:
y = `(2x)/(3) - 1`
Draw the graph for the equation given below:
`(1)/(2) x + (2)/(3) y = 5`.
Draw the graph for the equation given below:
`(2x - 1)/(3) - (y - 2)/(5) = 0`
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
For the pair of linear equations given below, draw graphs and then state, whether the lines drawn are parallel or perpendicular to each other.
y = x - 3
y = - x + 5
Draw the graph of equation `x/(4) + y/(5) = 1` Use the graph drawn to find:
(i) x1, the value of x, when y = 10
(ii) y1, the value of y, when x = 8.
Draw the graph of the lines represented by the equations 2x - y = 8 and 4x + 3y = 6 on the same graph. Find the co-ordinates of the point where they intersect.
Draw the graph of the lines represented by the equations 5y = 3x + 1 and y = 2x + 3 on the same graph. Find the coordinates of the point where they intersect.
