Prove that the angle between the lines joining the origin to the points of intersection of straight line `y=3x+2` with the curve `x^2+2xy+3y^2+4x+8y-11=0` is `tan^(-1)((2sqrt2)/3)`

Prove that 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 is tan^(-1)((2sqrt(2))/(3))

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

The lines joining the origin to the points of intersection of the line 3x-2y-1 and the curve 3x^(2)+5xy-3y^(2)+2x+3y=0, are

Find the equation of the bisectors of the angles between the lines joining the origin to the point of intersection of the straight line x-y=2 with the curve 5x^(2)+11xy-8y^(2)+8x-4y+12=0

The lines joining the origin to the points of intersection of the line 4x+3y=24 with the circle (x-3)^(2)+(y-4)^(2)=25 are