Question

Two points $(x_1,y_1)$ and $(x_2,y_2)$ lie on the same side of the straight line ax + by +c = 0 if ($a{x}_1+b{y}_1+c$) ($a{x}_2+b{y}_2+c$) is positive

• A. True
• B. False

Answer 1

The correct option is A

True

Two points $(x_1,y_1)$ and $(x_2,y_2)$ lie on the same side of the straight line ax + by + c = 0 if $a{x}_1+b{y}_1+c$ and $a{x}_2+b{y}_2+c$ have the same sign. If they are of same sign, their product will be -positive. Proving this is simple and lengthy. We can verify this for a given line and points easily.