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Question
Select the correct option from the given alternatives:
Distance between the two parallel lines y = 2x + 7 and y = 2x + 5 is
Options
`sqrt(2)/sqrt(5)`
`1/sqrt(5)`
`sqrt(5)/2`
`2/sqrt(5)`
Solution
`2/sqrt(5)`
Explanation;
Here, c1 = 7, c2 = 5, a = 2 and b = – 1
Distance between parallel lines = `|("c"_1 - "c"_2)/sqrt("a"^2 + "b"^2)|`
= `|7 - 5|/sqrt(2^2 + (-1)^2`
= `2/sqrt(5) "units"`
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