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?

Write the slope of the line 3x+2y+1 = 0 ?

Prove that the points (2, -3) & (-3, 7) lie on the opposite sides of the line 2x+5y-8=0 .

Prove that the points (2, -5) & (-2, 4) lie on the same side of the line 3x+y+5=0 .

If the points (1, 2) and (3, 4) were to be on the same side of the line 3x-5y+a=0 , then :

Equation of line passing through the point (2,3,1) and parallel to the line of intersection of the plane x-2y - z +5 =0 and x+y+3z = 6 is

The range of values of theta in the interval (0, pi) such that the points (3,2) and (cos theta, sin theta) lie on the same side of the line x+y-1=0 is

If P is a point (x, y) on the line y= -3x such that P and Q(3, 4) are on opposite sides of the line 3x-4y=8 , then :

Equatin of line passing through the point (2,3,1) and parallel to the line of intersection of the planes x−2y−z+6=0 and x+y+3z=5 is