If the equation `a x^2 + 2 h xy + b y^2 + 2 g x + 2 f y + c = 0` represents a pair of straight line, show that they intersect in point `((hf-bg)/(ab-h^2) ' (hg-af)/(ab-h^2))`

If the equation ax^(2)+2hxy+by^(2)+2gx+2fy+c=0 represents a pair of straight line,show that their point of intersection is (sqrt((f^(2)-bc)/(h^(2)-ab)),sqrt((g^(2)-ac)/(h^(2)-ab)))

a(x^(2)-y^(2))+xy=0 represents a pair of straight lines for

a(x^(2)-y^(2))+xy=0 represents a pair of straight lines for

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

If a x^(2)+2 h x y+b y^(2)+2 g x+2 f y+c=0 represents a parallel lines, then

If the equation lambda x^(2)-5xy+6y^(2)+x-3y=0 represents a pair of straight lines then their point of intersection is

If the equation 3x^(2)-2y^(2)+lamda xy -x+5y-2=0 represents a pair of straight lines then lamda=