26, The distance between the lines 3x + 4y = 9 and 6x + 8y + 15-0 is 3 10 10 (d) none of these

Options

A. `(3)/(2)`
B. `(3)/(10)`
C. 6
D. None of these

Answer

B

Explanation

Given lines are
`3x+4y=9 " " ` …(i)
`and 6x+8y=15 `
`rArr 3x+4y=15//2 " " ` …(ii)
Since, both lines are parallel,
therefore the distance between two lines
`=|((15)/(2)-9)/(sqrt(3^(2)+4^(2)))|`
`=(3)/(2*5)=(3)/(10)`