The set of real values of k for which the lines `x + 3y +1=0, kx + 2y-2=0` and `2x-y + 3 = 0` form a triangle is

The number of real values of k for which the lines x-2y+3=0,kx+3y+1=0 and 4x-ky+2=0 are concurrent is:

If the lines x + 3y - 5 = 0 , 5x +2y-12 = 0 and 3x -ky-1=0 do not form a triangle, then a value of k is

If the sum of squares of all real values of "alpha" ,for which the lines 2x-y+3=0,6x+3y+1=0 and [alpha x+2y-2=0 do not form a triangle is "p" ,then the greatest integer less than or equal to "p" is___________

The values of k for which lines kx + 2y + 2 = 0, 2x + ky + 3 = 0, 3x + 3y + k = 0 are concurrent are

The values of k for which lines kx + 2y + 2 = 0, 2x + ky + 3 = 0, 3x + 3y + k = 0 are concurrent are

The values of k for which lines kx + 2y + 2 = 0, 2x + ky + 3 = 0, 3x + 3y + k = 0 are concurrent are

The real value of k so that the lines x+k y+2=0 3x+2y+1=0 2x+y+2=0" form a triangle"