Question

Select One Option Correct from the following : The coordinates of a particle moving in a plane are given by $x = a \cos pt$ and $y = b \sin pt$ where a, b (< a) and p are positive constants of appropriate dimensions. Then,
(A)the path of the particle is an ellipse.
(B)the velocity and acceleration of the particle are normal to each other at $t=\frac{\pi}{2p}$ .
(C)the acceleration of the particle is always directed towards a focus.
(D)the distance travelled by the particle in time interval t = 0 to $t=\frac{\pi}{2p}$ is a.

Answer 1

a option is correct I think

Answer 2

(A)the path of the particle is an ellipse.