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

Do the points (-2,5),(3,-4) lie on the same or opposite sides of the circle 3x^2+3y^2-5x-93=0 ?

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

Find the value of a if the points (1, 2) and (3, 4) are of opposite side of the line 3x - 4y + a = 0

If P is a point (x ,y) on the line y=-3x such that P and the point (3, 4) are on the opposite sides of the line 3x-4y=8, then x >8/(15) (b) x >8/5 y<-8/5 (d) y<-8/(15)

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?

Find the range of (alpha,2+alpha) and ((3alpha)/2,a^2) lie on the opposite sides of the line 2x+3y=6.

Find the equation of the circle which passes through the points (1,-2),(4,-3) and whose center lies on the line 3x+4y=7.

The line segment joining the points (1,2) and (-2, 1) is divided by the line 3x+4y=7 in the ratio

Find the equations to the straight lines which are at a distance of 2 unit from the origin and which pass through the point of intersection of the lines 3x+4y=4 and 2x+5y+2=0 .

Column I, Column II The coordinates of a point on the line x=4y+5,z=3y-6 at a distance 3 from the point (5,3,-6) is/are, p. (-1,-2,0) The plane containing the lines (x-2)/3=(y+2)/5=(z+5)/7 and parallel to hat i+4 hat j+7 hat k has the point, q. (5,0,-6) A line passes through two points A(2-3,-1)a n dB(8,-1,2)dot The coordinates of a point on this line nearer to the origin and at a distance of 14 units from A is/are, r. (2,5,7) The coordinates of the foot of the perpendicular from the point (3,-1,11) on the line x/2=(y-2)/3=(z-3)/4 is/are, s. (14 ,15)