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

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

The image of the point (3, 8) with respect to the line x + 3y = 8 is

Consider the line 3x – 4y + 2 = 0 and the point (2, -3) Find the distance of the point from the line.

if P,Q are two points on the line 3x+4y+15=0 such that OP=OQ=9 then the area of triangle OPQ is

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

The image of the point (2,3) in the line y = -x is

Find the nearest point on the line 3x+4y=2 from the origin.

Find atleast two equations of the straight lines in the family of the lines y=5x+b, for which b and the x-coordinate of the point of intersection of the lines with 3x-4y=6 are integers.

Find the distance of the point (3,-3) from the line 3x - 4y - 26 = 0