Prove that the points (2, -5) & (-2, 4) lie on the same side of the line `3x+y+5=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) & (-1, 4) are equidistant from the line 3x+y-5=0 .

Show that the points (2,3,-5) and (3,4,7) lie on the opposite side of the plane x+2y-2z=9

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

Find the set of values of a if the points (1,2) and (3,4) lie to the same side of the straight line 3x-5y+a=0

The range of theta in (0, pi) such that the point (3, 5) and (sin theta, cos theta) lie on the same side of the line x+y-1=0 is

State whether the points A(2,-1),B(1,1) lie on the same or opposite sides of the line 3x+4y=6 .