Show that the points (3,7) and (-3,-1) are on the same side of the straight line 3x - 8 y = 7.

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

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

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

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=0, then :

Show that the points A(3,5,1), B(-1,0,8) and C(7,10,-6) are collinear.

Find the point of intersection of the straight lines : x/3-y/4=0, x/2+y/3 =1 .

If A((sin alpha)/3 - 1,(cos alpha)/2 - 1) and B(1,1) alpha in [ -pi,pi] are two points on the same side of the line 3x - 2y +1 = 0 then alpha belongs to the interval

Points A (- 5, y), B (x, 7) and C (1,- 3) are collinear (i.e. lie on the same straight line) such that AB = BC. Calculate the values of x and y.

If (x+3,5) and (7,y-3) represent the same point, then find the values of x and y .

Show that the origin is equidistant from the three straight lines : 4x + 3y + 10 = 0,5x - 12y + 26 =0 and 7x + 24y = 50.