First slide

Equation of line in Straight lines

Question

For the line $x + y - 2 = 0$ $(1, 2), (1, - 2)$ , the points

Moderate

A

Both lies on the same side of the line
B

Both lies opposite side of the line
C

Both lies on the line
D

not possible to decide

Solution

$Suppose that L = 0 be a line. Suppose that A, B are any two points.$
$Substitute the points in the equation of the line L = 0, the values obtained are L_{A}, L_{B}$
$If the values L_{A}, L_{B} are of same sign, then the points A, B lies on the same side of the line L=0$
$If the values L_{A}, L_{B} are of opposite sign, then the points A, B lies on the opposite side of the line L=0$

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