A particle of mass `2kg` moves under a force given by
`vec(F)=-(8N//m)(xhat(i)+yhat(j))`
where `hat(i)` and `hat(j)` are unit vectors in the `x` and `y` directions.
The particle is projected from the origin in `xy` plane with an initial velocity `vec(v)=(3m//s)hat(i)+(4m//s)hat(j)`.
Select correct statement(s).
A. An elliptical path if `(v_(0))/a=3s^(-1)`
B. A circular path if `(v_(0))/a=5s^(-1)`
C. A circular path if `(v_(0))/a=2s^(-1)`
D. An elliptical path if `(v_(0))/a=1s^(-1)`
