Show that the normal at any point `theta` to the curve `x=acostheta+athetasintheta,\ y=asintheta-a\ thetacostheta` is at a constant distance from the origin.

Show that the normal at any point theta to the curve x=a cos theta+a theta sin theta,y=a sin theta-a theta cos theta is at a constant distance from the origin.

Show that the normal at any point theta to the curve x=a(cos theta+ theta sin theta), y=a( sin theta- theta cos theta) is at a constant distance from the origin.

Show that the normal at any point theta to the curve x=a cos theta+a theta sin thetay=a sin theta-a theta cos theta is at a constant distance from the origin.

Show that the normal at any point theta to the curve x = a cos theta + a theta sin theta, y = a sin theta - a theta cos theta is at a constant distance from the origin.

Show that the normal at any point θ to the curve x = a costheta + a theta sin theta, y = a sintheta – atheta costheta is at a constant distance from the origin.

Show that the normal at any point θ to the curve x = a costheta + a theta sin theta, y = a sintheta – atheta costheta is at a constant distance from the origin.

Show that the normal at any point θ to the curve x = a costheta + a theta sin theta, y = a sintheta – atheta costheta is at a constant distance from the origin.