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)`

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

The angle between the tangents to the curve y^(2)=2ax at the point where x=(a)/(2) , is

Find the angle between the line joining the points (2,0), (0,3) and the line x+y=1.

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+2x y+3y^2+4x+8y-11=0 is tan^(-1)((2sqrt(2))/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+2x y+3y^2+4x+8y-11=0 is tan^(-1)((2sqrt(2))/3)

Find the angle between the line joining the points (2, 0), (0, 3) and the line x+y=1 .

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

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