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The coordinates of a particle moving in ...

The coordinates of a particle moving in a plane are given by x(t)=acos(pt) and y(t)=sinp(t) where a,b(lta) and p are positive constant 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=(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=pi/(2p)` is a

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The correct Answer is:
A, B
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