Question

The motion of a particle is defined by x = 2 cos (ott) and
y=1 - 4 cos (21π). The path of particle is
(a) parabola
(b) part of parabola
(c) Hyperbola
(d) None of these​

Answer 1

Answer:

x=asinwt

y=a(1−coswt)or(ay​−1)=−coswt

(ax​)2+(ay​−1)2=1

x2+(y−a)2=a2⇐ Equationofcircle

Thus the point moves on the rim of a circle which is above the origin by a, therefore the path traced by it is going to be cycloid.