A) \( \Large 2x+3y-1=0 \) |
B) \( \Large 4x+6y-1=0 \) |
C) \( \Large 8x+12y-1=0 \) |
D) none of these |
C) \( \Large 8x+12y-1=0 \) |
Since, the lines \( \Large 2x+3y+5=0\ and\ 2x+3y-\frac{11}{2}=0 \) are parallel
Let required lines is \( \Large 2x+3y+n=0,\ n=\frac{C_{1}+C_{2}}{2} \)
\( \Large n=\frac{5-\frac{11}{2}}{2} = \frac{-1}{4} \)
So \( \Large 8x+12y-1=0 \) is required line.