Find the equations to the pair of lines through the origin which are perpendicular represented by `6x^(2) - xy - 12y^(2) = 0`.

Find the joint equation of the pair of lines through the origin which are perpendicular to the lines given by 5x^(2) + 2xy - 3y^(2) = 0.

Find the combined equation of the pair of lines through the origin and perpendicular to the lines represented by : (1) 5x^(2) - 8xy + 3y^(2) = 0 (2) x^(2) + 4xy - 5y^(2) = 0 (3) ax^(2) + 2hxy + by^(2) = 0 .

The combined equation of the pair of lines through the point (1, 0) and perpendicular to the lines represented by 2x^(2)-xy-y^(2)=0 , is

Find the equation of the pair of lines through the origin and perpendicular to the pair of line ax^2+2hxy+by^2=0 .

The equation of the lines through the origin and which are perpendicular to the pair of x^(2)-3xy+2y^(2)=0 is