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प्रश्न
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.
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उत्तर
To draw the graph of 3x + 2y = 6 follows the steps:
First, prepare a table as below:
| X | - 2 | 0 | 2 |
| Y | 6 | 3 | 0 |
Now sketch the graph as shown:
From the graph it can verify that the line intersects the x-axis at (2,0) and y at (0,3), therefore the coordinates of P(x-axis) and Q(y-axis) are (2,0) and (0,3) respectively.
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संबंधित प्रश्न
Draw the graph for the linear equation given below:
y = x
Draw the graph for the linear equation given below:
y = `(2x)/(3) - 1`
Draw the graph for the linear equation given below:
x + 5y + 2 = 0
Draw the graph for the equation given below:
`(1)/(2) x + (2)/(3) y = 5`.
For the pair of linear equations given below, draw graphs and then state, whether the lines drawn are parallel or perpendicular to each other.
2x - 3y = 6
`x/(2) + y/(3) = 1`
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 the equation 2x + 3y + 5 = 0, from the graph find the value of:
(i) x, when y = -3
(ii) y, when x = 8
Draw a graph of the equation 5x - 3y = 1. From the graph find the value of:
(i) x, when y = 8
(ii) y, when x = 2
Draw the graph of the lines represented by the equations 3x - 2y = 4 and x + y = 3 on the same graph. Find the coordinates of the point where they intersect. State, whether the lines are perpendicular to each other.
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.
