First slide

Equation of line in Straight lines

Question

Point (1 ,2) and $(- 2, 1)$ are

Moderate

A

on the same side of the line $4 x + 2 y = 1$
B

on the line $4 x + 2 y = 1$
C

on the opposite side of $4 x + 2 y = 1$
D

none of these

Solution

Let $L = 4 x + 2 y - 1$
we have , $L > 0 for x = 1, y = 2$
and , $L < 0 for x = - 2, y = 1$
Hence, the two points $(1, 2)$ and $(- 2, 1)$ are on the opposite side of the line $L = 0$

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