All normals to the curve x = a cos t + at sin t, y = a sin t – at cos t are at a distance a from the origin that is equal to….
a
2a
3a
8a
The normal at any point q to the curve x = a (cos q + q sin q), y = a (sin q - q cos q) is at distance from the origin that is equal to... .
Show that the normal at any point θ to the curve x=a cos θ+a θ,y=a sin θ−a θ cos θ is. at a constant distance from the origin.