Show that the path of a moving point such that its distances from two lines `3x" "" "2y" "=" "5` and `3x" "+" "2y" "=" "5` are equal is a straight line.

Show that the path of a moving point such that its distance from the lines : 3x- 2y = 5 and 3x + 2y =5 are equal, is a straight line.

Show that the path of a moving point such that its distances from two lines 3xquad -2y=5 and 3x+2y=5 are equal is a straight line.

Show that the path of a moving point such that its distance from two lines 3 x-2 y=5 and 3 x+2 y=5 are equal is a straight line.

Prove that the locus of a moving point, which is equidistant from the lines 3x-2y=5 and 3x+2y=5 , is a straight line.

Prove that the locus of a moving point, which is equidistant from the lines 3x-2y=5 and 3x+2y=5 , is a straight line.

Find the distance of the point (- 2,3) from the line x - y = 5.

Show that the perpendiculars dropped from any point of the straight line 9x+3y=20 upon the two straight lines x+3y=6and13x-9y=10 are equal.

A straight line passes through the point of intersection of the straight lines 3x - 2y + 4 = 0 and 2x + 3y +5 = 0 and is parallel to the straight line x -y + 5 = 0. Find its equation.

If sum of the perpendicular distances of a variable point P (x , y) from the lines x + y =5 and 3x - 2y +7 = 0 is always 10. Show that P must move on a line.