Show that the lines
` 2x + 3y - 8 = 0 , x - 5y + 9 = 0 and 3x + 4y - 11 = 0` are concurrent.

Show that the three straight lines 2x-3y + 5 = 0 , 3x + 4y - 7 = 0 and 9x- 5y + 8 = 0 meet in a point

If the lines 2x+ y-3 = 0, 5x+ky - 3=0 and 3x -y -2 =0 are concurrent, find the value of k.

A point equidistant from the lines 4x + 3y + 10 = 0, 5 x - 12y + 26 =0 and 7 x + 24y - 50 = 0 is,

Prove that lines 3x + y + 4 = 0, 3x + 4y = 20 and 24x - 7y + 5 = 0 are sides of an equilateral triangle.

If the lines 5x - ky + 3 = 0 and 4x - 3y - 4 = 0 are parallel then k = ........... .

Find the angle between the lines y- sqrt(3) x - 5 = 0 and sqrt(3) y - x+6=0 .

If the lines 2x-y+3z + 4 = 0=ax + y-z + 2 and x-3y + z=0 =x + 2y + z +1 are coplannar then the value of a is ...........