5.Find the distance between two parallel lines X = -8 and x = 6.
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Step-by-step explanation:
We correct the given problem by taking equations of straight lines:
x - 2y + 5 = 0
x + 2y + 5 = 0
First, we observe if the lines intersect each other:
The given straight lines are
x - 2y + 5 = 0 ..... (1)
x + 2y + 5 = 0 ..... (2)
From (1), we get x = 2y - 5 and substituting in (2), we have
2y - 5 + 2y + 5 = 0
or, 4y = 0
or, y = 0
Putting y = 0 in (1), we have x = - 5.
∴ the given lines intersect each other at (- 5, 0).
∴ being intersecting lines, the distance between the lines is 0.
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