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)`

Answer 1

`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"`