Question

Choose the correct statement which describe the position of the point $(-6,2)$ relative to straight lines $2x+3y-4=0$ and $6x+9y+8=0$.

• A. Below both the lines
• B. Above both the lines
• C. In between the lines
• D. None of these

Answer 1

Answer: (A)

$L\equiv 2x+3y-4=0$,
$L_{(-6,2)}=-12+6-4<0$
$L^{\prime }=6x+9y+8=0$,
$L_{(-6,2)}^{\prime }=-36+18+8<0$
Hence, the point is below both the lines.