Show that the equation `9x^(2) - 6xy + y^(2) + 18x - 6y + 8 = 0` represents a pair of lines. Find the acute angle between them.

Show that the equation x^(2)-6xy+5y^(2)+10x-14y+9=0 represents a pair of lines. Find the acute angle between them. Also find the point of intersection of the lines.

Show that the equation 9x^(2)-24xy+16y^(2)-12x+16y-12=0 represents a pair of parallel lines. Find the distance between them.

Show that the following equations represents a pair of parallel lines and also find the distance between them. Show that the equation 8x^(2)-24xy+18y^(2)-6x+9y-5=0 represents a pair of parallel lines and find the distance between them.

Find p and q, if the equation px^(2) - 6xy + y^(2) + 18x - qy + 8 = 0 represents a pair of parallel lines.