Combined equation of pair of lines joining origin and intersection of a curve and line

The equation of pair of straight lines joining the point of intersection of the curve x^2+y^2=4 and y-x=2 to the origin , is

The equation of pair of lines joining origin to the points of intersection of x^(2)+y^(2)=9 and x+y=3

The combined equation of pair of lines passing through origin and perpendicular to the lines given by 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

The equation of the line joining origin to the points of intersection of the curve x^2+y^2=a^2 and x^2+y^2-ax-ay=0 , is

The equation to the pair of lines joining the origin to the points of intersection of y=x+3 and 2x^(2)+2y^(2)=1 is

The equation of pair of lines joinig origin to the points of intersection of x^(2)+y^(2)=9 and x+y=3 is