The equation of normal at any point o to the curve `x =a cos theta + asin theta, y = a sin theta - acos theta` is always at a distance of

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+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 + a theta sin theta, y = a sin theta - a theta cos theta is at the constant distance from 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 equation of normal at any point on the curve x = 3 cos theta - cos^(3) theta, y = 3 sin theta - sin^(3) theta "is" 4 (y cos^(3) theta - x sin^(3) theta) = 3 sin 4 theta .

Show that the equations of the normal at any point theta on the curve x = 3 cos theta - cos^3 theta, y = 3 sin theta - sin ^3 theta is 4(y cos^3 theta - x sin^3 theta) = 3 sin 4 theta