Question
Choose the correct option(s) in regards to trajectory (path) of the particle:

Choose the correct option(s) in regards to trajectory (path) of the particle:
(A) Equation of the trajectory (path) of the particle is ( y=xleft(1-frac{beta}{alpha} xright) )
(B) Equation of the trajectory (path) of the particle is ( y=xleft(1-frac{alpha}{beta} xright) )
(C) trajectory of particle is symmetric about ( x=2 a / beta )
(D) trajectory of particle is symmetric about ( x=alpha / 2 beta )
Solution

( t=frac{x}{alpha} Rightarrow y=alpha t(1-beta t)=xleft(1-frac{beta x}{alpha}right)=frac{omega}{alpha}(alpha-beta x) )
graph is symmetrical about x = (alpha)/B
Option (A) and (D) are correct