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प्रश्न
Draw a graph for each of the following equations and find the coordinates of the points where the line drawn meets the x-axis and y-axis: 2x + 3y = 12
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उत्तर
2x + 3y = 12
⇒ 3y = 12 - 2x
⇒ y = `4 - (2)/(3) x`
When x = 3, y = `4 - (2)/(3)(3)` = 2
When x = -3, y = `4 - (2)/(3)(-3)` = 6
When x = 6, y = `4 - (2)/(3)(6)` = 0
| x | 3 | -3 | 6 |
| y | 2 | 6 | 0 |
Plotting the points (3, 2), (-3, 6) and (6, 0), we get a line segment as shown in the figure.
The line meets the x-axis at (6, 0) and y-axis at (0, 4).
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संबंधित प्रश्न
Draw the graph of the equation given below.
3x - y = 0
Draw the graph for the linear equation given below:
3x + 2y = 0
Draw the graph for the linear equation given below:
y = 2x + 3
Draw the graph for the linear equation given below:
y = `(2x)/(3) - 1`
Draw the graph for the equation given below:
3x + 2y = 6
The graph of 3x + 2y = 6 meets the x=axis at point P and the y-axis at point Q. Use the graphical method to find the co-ordinates of points P and Q.
Find if the following points are collinear or not by using a graph:
(i) (-2, -1), (0, 3) and (1, 5)
(ii) (1, 3), (-2, -4) and (3, 5)
(iii) (2, -1), (2, 5) and (2, 7)
(iv) (4, -1), (-5, -1) and (3, -1)
Draw a graph of each of the following equations: 3y + 2x = 11
Draw a graph of each of the following equations: 2(x - 5) = `(3)/(4)(y - 1)`
Draw a graph of each of the following equations: y = `(3)/(5) x - 1`
