For what value (s) of a will the two points `(1,a,1) and (-3,0,a)` lie on opposite sides of the plane `3x+4y-12z+13=0?`

For a what value (s) of a, will the two points (1,a,1) and (-3,0,a) lie on opposite sides of the plane 3x+4y-12x+13-0?

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

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

Show that the points (1, 1, 1) and (-3, 0, 1) are equidistant from the plane 3x+4y-12 z+13=0.

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

Show that the points (-3,0,1) and (1,1,1) are equidistant from the plane 3x+4y-12z+13=0 .

Show that the points (1,-1,3) and (3, 4, 3) are equidistant from the plane 5x +2y + -7z + 8 = 0.

Assertion: The points (2,1,5) and (3,4,5) lie on opposite side of the plane 2x+2y-2z-1=0 , Reason: Values of 2x+2y-2z-1 for points (2,1,5) and (3,4,3) have opposite signs. (A) Both A and R are true and R is the correct explanation of A (B) Both A and R are true R is not te correct explanation of A (C) A is true but R is false. (D) A is false but R is true.