Show that the line joining the origin and (2,3) is concurrent with the lines `5x-3y-2=0andx+y=10`.

Show that the line passing through (6,0) and (-2,-4) is concurrent with the lines. 2x-3y-11 = 0 and 3x-4y = 16.

The equation of the line with gradient -(3)/(2) which is concurrent with the lines 4x+3y-7=0 and 8x+5y-1=0

Find the length of the perpendicular from the point 4, -7) to the line joining the origin and the point of intersection of the lines 2x-3y+14=0 and 5x+4y-7=0 .

The equation of the line with gradient -3/2 which is concurrent with the lines 4x+3y-7=0 and 8x+5y-1=0

The equation of the line with gradient -3//2 which is concurrent with the lines 4x+3y-7=0 and 8x+5y-1=0, is

Prove that The lines joining the origin to the points of intersection of the line 3x-2y =1 and the curve 3x^2 + 5xy -3y^2+2x +3y= 0 , are are at right angles.

Show that the lines joining the origin to the points of intersection of the curve x^2+xy+y^2+3x+3y-2=0 and the straight line x-y-sqrt2=0 are mutually perpendicular .

Show that straight lines joining the origin to the points of intersection of 3x-2y+2=0 and 3x^2+5x-2y^2+4x+5y=0 are at right angles .