Consider a rotating disk cam and a translating roller follower

Consider a rotating disk cam and a translating roller follower with zero offset. Which one of the following pitch curves, parameterized by t, lying in the interval 0 to 2π, is associated with the maximum translation of the follower during one full rotation of the cam rotating about the center at (x, y) = (0, 0)?

From all the four options the maximum amplitudes is in point ‘C’ as t = 0.
(x)_{t = 0} (y)_{t = 0}
(a) x = 1 y = 0
(b) x = 1 y = 0

(c) x =	3	, y = 0
	2

(d) x =	3	, y = 0
	2

Option ‘c’ has maximum net amplitude.

x(t) =	1	+ cost , y(t) = 2sint
	2

x(t) =	1	+ cost , y(t) = sint
	2