Question

The points $(2,1)$ and $(-3,5)$ are on the same side or opposite side of the line $3x-2y+1=0$?

• A. opposite sides
• B. same sides
• C. on the line
• D. none of these

Answer 1

The correct option is A opposite sides

Given equation of line is
$L=3x-2y+1=0$
For the point $(2,1)$, $L=5>0$
For the point $(-3,5)$,$L=-18<0$
Opposite signs shows that the two points lies on the opposite side of the line $L=0$.