Question

Examine the positions of the points $(3,-4)$ and $(2,6)$ w.r.t. $3x-4y=8$

• A. Points lies on the same side of the line
• B. Points lies on the opposite sides of the line
• C. Points lies on the line.
• D. None of the above

Answer 1

Answer: (B)

Points lies on the opposite sides of the line

$L(x_1,y_1).L(x_2,y_2)$

$=(3.3-4.(-4)-8).(3.2-4.6-8)=\left(17\right)(-26)<0$

Hence, points lies on opposites sides of line.