The point `(8,-9)` with respect to the lines `2x+3y-4=0` and `6x+9y+8=0` lies on (a) the same side of the lines (b) the different sides of the line (c)one of the line (d) none of these

Answer

Both the lines lie on the same side of point (8,-9)

Explanation

Given lines are parallel lines.
`"Let "L_(1)(x,y) = 2x+3y-4`
`"and "L_(2)(x,y) = 6x+9y+8`
`" " L_(1)(8,-9) =2(8)+3(-9)+4=-7 lt 0`
`" " L_(2)(8,-9) =6(8)+9(-9)+8=-25 lt 0`
Hence, both the lines lie on the same side of point (8,-9).