Are the points (2,1) and `(-3,5)` on the same or opposite side of the line `3x - 2y + 1 = 0 `?

Are the points (3,4) and (2,-6) on the same or opposite sides of the line 3x-4y=8?

Examine whether the points (3, -4) and (2, 6) are on the same or opposite sides of the line 3x-4y=9 ?

If the points (x, -3x) and (3, 4) lie on the opposite side of the line 3x-4y=8 , then

If the point (1,2) and (34) were to be on the same side of the line 3x-5y+a=0 then

Prove that the point (2, -1) and (1, 1) are on the opposite sides of the straight line 3x+4y-6=0 .

The points (1,2) and (3,4) are on the same side of line 2x-3y+5=0

Statement 1: If the point (2a-5,a^(2)) is on the same side of the line x+y-3=0 as that of the origin,then a in(2,4) statement 2: The points (x_(1),y_(1)) and (x_(2),y_(2)) lie on the same or opposite sides of the line ax+by+c=0, as ax_(1)+by_(1)+c and ax_(2)+by_(2)+c have the same or opposite signs.

Statement I The points (3,2) and (1,4) lie on opposite side of the line 3x-2y-1 =0 Statement II The algebraic perpendicular distance from the given the point to the line have opposite sign

Let L be the line y = 2x , in the two dimensional plane . Statement 1 : The image of the point (0,1) in L is the point (4/5 , 3/5) Statement 2 : The points (0,1) and (4/5 , 3/5) lie on opposite sides of the line L and are at equal distance from it .