Correct Answer - B
Given lines, `L_(1)=3x+4y-9=0`
`L_(2)=6x+8y-15=0 implies 3x+4y-15/2 =0`.
Observe that the coefficients of x and y are same.
`:. L_(1)` and `L_(2)` are parallel lines.
Distance between parallel lines `=(|c_(1)-c_(2)|)/sqrt(a^(2)+b^(2))`
`=(|-9+15/2|)/sqrt(3^(2)+4^(2))`
`= (|(-18+15)/2|)/sqrt(25)=3/10`.