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 x^(2)+4xy+4y^(2)-3x-6y-4=0 represents a

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

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

Prove that the equartion 3y^(2)-8xy-3x^(2)-29x+3y-18=0 represents two straight lines. Find also their point of intersection and the angle between them.

Prove that the equation 2x^(2)+5xy+3y^(2)+6x+7y+4=0 represents a pair of straight lines.Find the coordinates of their point of intersection and also the angle between them.

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

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

If the equation x^(2)+3xy+2y^(2)+x-y+k=0 represents a pair of line, then k=

If the equation 3x^(2)+xy-y^(2)-3x+6y+k=0 represents a pair of straight lines, then the value of k, is

The equation x^(2)-6x^(2)y+11xy^(2)-6y^(3)=0 represents three straight lines passing through the origin, the slopes of which form an