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))

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))

The angle between the line joining the points (1,-2) , (3,2) and the line x+2y -7 =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 acute angle formed between the lines joining the origin to the points of intersection of the curves x^2+y^2-2x-1=0 and x+y=1 , is

Find the angle between the line joining the points (1,-2), (3,2) and the line x+2y-7=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 line joining the points (0,3) and (5,-2) becomes tangent to the curve y=c/(x+1) then c=