First slide

Equation of line in Straight lines

Question

With respect to the line $2x + 3y + 5 = 0$ , the points $A (1, 2), B (- 3, 4)$ are

Easy

A

lie on same side
B

lie on opposite side
C

lie on the line
D

None

Solution

$L = 2 x + 3 y + 5 = 0$
A(1,2) ,B(-3,4)
$\begin{matrix} L_{11} = L_{(1, 2)} =2 + 6 + 5 > 0 \\ L_{22} = L_{(- 3, 4)} = - 6 + 12 + 5 > 0 \\ L_{11} > 0, L_{22} > 0 \end{matrix}$
lie on same side of L = 0

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