Show that the angle between the tangent at any point P and the line joining P to the origin O is same at all points on the curve `log(x^2+y^2)=ktan^(-1)(y/x)`

Show that the angle between the tangent at any point P and the line joining P to the origin O is the same at all points on the curve log(x^2+y^2)=ktan^(-1)(y/x) .

The angle between the tangents at any point P and the line joining P to the orgin, where P is a point on the curve ln (x^(2)+y^(2))=ktan^(1-)""(y)/(x),c is a constant, is

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 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 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