The equation `x^3+x^2y-x y=y^3` represents three real straight lines lines in which two of them are perpendicular to each other lines in which two of them are coincident none of these

The equation x^(3)+x^(2)y-xy=y^(3) represents three real straight lines lines in which two of them are perpendicular to each other lines in which two of them are coincident none of these

Equation ax^3-9x^2y-xy^2+4y^3=0 represents three straight lines. If the two of the lines are perpendicular , then a is equal to

The equation x^(3)+ax^(2)y+bxy^(2)+y^(3)=0 represents three straight lines, two of which are perpendicular, then the equation of the third line, is

The equation x^(3)+x^(2)y-xy^(2)-y^(3)=0 represents three straight lines passing through the origin such that

The equation 3ax^2+9xy+(a^2-2)y^2=0 represents two perpendicular straight lines for

If the equation 4y^(3) - 8a^(2)yx^(2) - 3ay^(2)x +8x^(3) = 0 represents three straight lines, two of them are perpendicular, then sum of all possible values of a is equal to

Prove that the equation m (x^3-3xy^2)+y^3-3x^2y=0 represents three straight lines equally inclined to each other.

The equation of the straight line passing through the point (3,2) and perpendicular to the line y=x is

The equation 3x^2+2hxy+3y^2=0 represents a pair of straight lines passing through the origin . The two lines are