Joint equation of two lines, through the origin, such that one of them is parallel and the other perpendicular to line `2x+3y+c=0` is

Joint equation of two lines through the origin, such that one is parallel to line x+2y=5 and the other perpendicular to line 2x-y+3=0 is

Joint equation of two lines, through the origin, having slopes 2 and -2 is

The combined equations of the pair of lines through the origin such that one is parallel to x+5y=5 and the other is perpendicular to x-5y+15=0 is

Joint equation of the straight line passing through the origin, one of which is parallel and other perpendicular to the line 6x-4y+3=0 is

The joint equation of pair lines passing through the origin of which one is parallel and other is perpendicular to 5x+3y=7 is

Find the combined equation of the lines passing through the origin such that (1) one is parallel to x + 2y = 5 and other is perpendicular to 2x - y + 3 = 0. (2) which are perendicular to the lines 3x + 2y -1 = 0 and x -3y + 2 = 0

The joint equation of pair lines passing through the origin of which one is parallel 3x-y=7 and other is perpendicular to 2x+y=8 is

Joint equation of two lines through the origin, each making angle of 45^(@) with line 3x-y=0 is

Joint equation of two lines through the origin each making angle of 30^(@) with line x+y=0 , is

Joint equation of two lines through the origin each making angle of 60^(@) with line x-y=0 , is