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) .

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))=k tan^(-1)((y)/(x))

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 line joining the points (1,-2) , (3,2) and the line x+2y -7 =0 is

Show that the curve such that the distance between the origin and the tangent at an arbitrary point is equal to the distance between the origin and the normal at the same point sqrt(x^2+y^2) =ce^(+-tan^(-1y/x))

Find 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

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