Prove that the point (2,2) is equidistant from the three straight lines 4x+3y-4=0,12x-5y+12=0and3x-4y=8.

Show that the point (-8,3) is equidistant from the straight lines 4x-3y+1=0and12x-5y+7=0 .

Show that any point on the straight line 11x-3y+11=0 is equidistant from the straight lines 12x+5y+12=0and3x-4y+3=0

Find the equation to the locus of a moving point which is always equidistant from the straight lines 3x-4y-2=0and5x-12y=4 .

The straight lines x+y=0, 5x+y=4 and x+5y=4 form

Find the equation of the straight line equidistant from and parellel to the straight lines x+y-3=0,x+y+1=0 .

If the points (x,y) is equidistant from (2,-1) and (-3,4) then prove that y = x + 2.

The distance between the straight lines 4x - 3y + 10 = 0 and 4x - 3y - 10 = 0 is _

Find for what value of k the three straight lines 4x-3y=1 , 3x-4y+1=0 and kx-7y +3=0 are concurrent .

If the point (x,y) is equidistant from the points (2,-1) and (-3,4) , then show that , y=x+2 .