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.

Show that the equation 2x^(2) + xy - y^(2) + x + 4y - 3 = 0 represents a pair of lines.

If the equation kx^(2) – 2xy - y^(2)– 2x + 2y = 0 represents a pair of lines, then k =

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

If the equation 2x^(2)+4xy-2y^(2)+4x+8y+k=0 represents a pair of line, then k=

Find the value of k if the following equation represents a pair of straight lines. Further, find whether these lines are parallel or intersecting 12x^(2)+7xy-12y^(2)-x+7y+k=0 .

Find the value of k, if the following equation represents a pair of straight lines . Further find wheter these lines are parallel or intersecting 12x^(2) + 7xy - 12 y^(2) - x + 7y + k = 0

Find the value of lambda for which the equation 2x^(2)+4xy+y^(2)+x+3y+2=0 represents a pair of straight line

If x^(2)- 10xy + 4y^(2) + 6x + 2y + k = 0 represents a pair of straight lines then, k=