The joint equation of lines passing through the origin and perpendicular to lines represented by `x^(2)+4xy-5y^(2)=0` is

The joint equation of lines passing through the origin and perpendicular to lines represented by x^(2)+xy-y^(2)=0 is

The joint equation of lines passing through the origin and perpendicular to lines represented by 5x^(2)+2xy-3y^(2)=0 is

The joint equation of lines passing through the origin and perpendicular to lines represented by 2x^(2)-3xy-9y^(2)=0 is

The joint equation of linespassing through the origin and perpendicular to lines represented by 5x^(2)-8xy+3y^(2)=0 is

The joint equation of lines passing through the origin and perpendicular to lines represented by 2x^(2)+5xy+2y^(2)+10x+5y=0 is

Combined equation of the lines passing through the origin and perpendicular to the lines 2x^(2)-3xy+y^(2)=0 is

The combined equation of pair of lines passing through origin and perpendicular to the lines given by 5x^(2)+3xy-2y^(2)=0 is

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 .