Find the angle between the straight lines joining the origin to the point of intersection of `3x^2+5x y-3y^2+2x+3y=0` and `3x-2y=1`

The angle between the straight lines joining the origin to the point of intersection of 3x^(2)+5xy-3y^(2)+2x+3y=0 and 3x-2y=1 , is

The equation of the straight line joining the origin to the point of intersection of y-x+7=0 and y+2x-2=0 is

The lines joining the origin to the points of intersection of 2x^(2)+3xy-4x+1=0 and 3x+y=.1 given by

The angles between the straight lines joining the origin to the points common to 7x^(2)+8y^(2)-4xy+2x-4y-8=0 and 3x-y=2 is:

The equation of the bisectors of the angle between the lines joining the origin to the points of intersection of the curve x^(2)+xy+y^(2)+x+3y+1=0 and the line x+y+2=0 is

Find the angle between the lines joining the origin to the points of intersection of the straight line y=3x+2 with the curve x^(2)+2xy+3y^(2)+4x+8y=11=0 .

The angle between the lines joining the origin to the points of intersection of the line sqrt3x+y=2 and the curve y^(2)-x^(2)=4 is