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

The values of p and q for which the equation 4 x^(2)+2 p x y+25 y^(2)+2 x+5 y+q=0 represents a pair of parallel lines is

Find the value of k, if the equation 2x^(2) + 4xy - 2y^(2) + 4x + 8y + k = 0 represents a pair of lines, Further find whether these lines are parallel or intersecting.

Find P and k if the equation px^(2)-8xy+3y^(2)+14x+2y+k=0 represents a pair of perpendicular lines.

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

If the equation 12x^(2)+7xy-py^(2)-18x+qy+6=0 represents a pair of perpendicular lines then

If the equation px^(2)-8xy+3y^(2)+14x+2y+q=0 represents a pair of perpendicular lines, then

If the equation px^(2)-8xy+3y^(2)+14x+2y+q=0 represents a pair of perpendicular lines, then