Does equation `x^2+2y^2-2sqrt(3)x-4y+5=0` satisfies the condition `a b c+2gh-af^2-bg^2-c h^2=0?` Does it represent a pair of straight lines?

Show that 2x^(2)+3xy-2y^(2)+3x+y+1=0 represents a pair of perpendicular lines.

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

For what value of k does the equation 12x^(2)+2kxy+2y^(2)+11x-5y+2=0 represent two straight lines.

The second degree equation x^2+4y^2-2x-4y+2=0 represents

The equation a^2x^2+2h(a+b)x y+b^2y^2=0 and a x^2+2h x y+b y^2=0 represent (a)two pairs of perpendicular straight lines (b)two pairs of parallel straight lines (c)two pairs of straight lines which are equally inclined to each other (d)none of these

Equation x^(2) +k_(1)y^(2) +2k_(2)y = a^(2) represents a pair of perpendicular straight lines if

The equation x^2y^2-9y^2-6x^2y+54 y=0 represents (a) a pair of straight lines and a circle (b) a pair of straight lines and a parabola (c) a set of four straight lines forming a square (d) none of these

Does equation (5x-5)^(2)+(5y+10)^(2)=(3x+4y+5)^(2) represents a parabola ?

The equation 3x^2+4y^2-18x+16 y+43=k (a)represents an empty set, if k 0 (c)represents a point, if k=0 (d)cannot represent a real pair of straight lines for any value of k