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The coordinates of a particle moving in ...

The coordinates of a particle moving in a plane are given by `x=acos pt` and `y=b sin pt ` where `a,b(lta)` and `p` are positive constants of appropriate dimensions. Then,

A

(a)The path of the particle is an ellipse

B

(b)Velocity and acceleartion of the particle are perpendicular to each other at `t=(pi)/(2p)`

C

(c)Acceleration of the particle is always directed towards a fixed point

D

(d)distance travelled by the particle in time internval between `t=0 and t=(pi)/(2p)` is a

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The correct Answer is:
D
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