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प्रश्न
Draw the graph of the lines represented by the equations x + y = 4 and 2x - y = 2 on the same graph. Find the coordinates of the point where they intersect
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उत्तर
For,
x + y = 4
y = 4 - x
When x = 3, y = 4 - 3 = 1
When x = 0, y = 4 - 0 = 4
When x = -1, y = 4 - (-1) = 5
| x | 3 | 0 | -1 |
| y | 1 | 4 | 5 |
For,
2x - y = 2
y = 2x - 2
When x = 3, y = 2(3) - 2 = 4
When x = 0, y = 2(0) -2 = -2
When x = -1, y = 2(-1) -2 = -4
| x | 3 | 0 | -1 |
| y | 4 | -2 | -4 |
Plotting thses co-ordinates on the graph, we get the lines shown as: (2, 2)
The point of intersection is (2, 2).
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संबंधित प्रश्न
Draw the graph of the equation given below.
2x + y = 1
Draw the graph for the linear equation given below:
x = - 2y
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`.
On the same graph paper, plot the graphs of y = 2x - 1, y = 2x and y = 2x + 1 from x = - 2 to x = 4. Are the graphs (lines) drawn parallel to each other?
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 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
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)/(5) + y/(2)` = 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 the graph of the lines y = x + 2, y = 2x - 1 and y = 2 from x = -3 to 4, on the same graph paper. Check whether the lines drawn are parallel to each other.
