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प्रश्न
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.
उत्तर
For,
y = x + 2
When x = 0, y = 0 + 2 = 2
When x = 5, y = 5 + 2 = 7
When x = -3, y = -3 + 2 = -1
| x | 0 | 5 | -3 |
| y | 2 | 7 | -1 |
For,
y = 2x - 1
When x = 0, y = 2(0) -1 = -1
When x = -2, y = 2(-2) -1 = -5
When x = 3, y = 2(3) -1 = 5
| x | 0 | -2 | 3 |
| y | -1 | -5 | 5 |
For,
y = 2
This line is parallel to the x-axis and passes through (0, 2)
The lines are not parallel to each other.
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