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

Find the equations to the pair of lines through the origin which are perpendicular represented by 6x^(2) - xy - 12y^(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 origin and perpendicular to the pair of lines given by ax^(2)+2hxy+by^(2)=0 , is

The combined equation of the pair of lines through the origin and perpendicular to the pair of lines given by ax^(2)+2hxy+by^(2)=0 , is

The combined equation of the pair of lines through the origin and perpendicular to the pair of lines given by ax^(2)+2hxy+by^(2)=0 , is