Sum of slopes of all possible lines passing through origin (O) and intersecting the lines x+y=1 and x+2y=1 at A & B respectively such that 3(OA.OB)=1 is

The equations to the straight lines each of which passes through the point (3,2) and intersects the x-axis and y-axis in A,B respectively such that OA-OB=2, can be

Find the equation of a line passing through the intersection of the lines x+3y=4 and 2x-y=1 and (0,0) lies on this line.

Find the equation of a line passing through the intersection of the lines x+3y=4 and 2x-y=1 and (0,0) lies on this line.

Find the equation of the lines passing through the intersection of the lines : 3x+7y-7=0 and x-y+2=0 and with slope 5.

A line through the origin intersects x = 1,y =2 and x +y = 4 , in A, B and C respectively,such that OA*OB*OC =8 sqrt2 . Find the equation of the line.

The number of lines passing through (1,1) and intersecting a segment of length 2 unit between the lines x+y=1 and x+y=3 is

The number of lines passing through (1, 1) and intersecting a segment of length 2 unit between the lines x+y=1 and x + y = 3 is

Find the equation of a line passing through the intersection of the lines 3x+2y=5 and 2x-y=1 and cuts equal intercepts on the axes.

Find the equation of a line passing through the intersection of the lines 3x+2y=5 and 2x-y=1 and cuts equal intercepts on the axes.