Question

The points (3, 4) and (-4, 3) lie on the same side of the line 2x - y + 3 = 0.

• A. True
• B. False

Answer 1

The correct option is B

False

Two points $(x_1,y_1)$ and $(x_2,y_2)$ are on the same side of ax + by +c = 0 if $a{x}_1+b{y}_1+c$ and $a{x}_2+b{y}_2+c$ have the same sign. We will substitute the points in the given line and check the signs.

(3, 4 ) $\to$ 2 $\times$ 3 - 4 + 3 = 5 $\Rightarrow$ +ve

(-4, 3) $\to$ 2 $\times$ - 4 - 3 + 3 = -8 $\Rightarrow$ -ve

$\Rightarrow$ They will lie on opposite sides.