1.

Figure shows the initial position of a system of two particles. Given that centre of mass of the system remains at rest particle A moves i a trajectory givenn by (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 Pick the correct option (s) for the nature of B's trajectory and the coordinates of B at the instant when A was at the position (0,b).

Answer»

Trajectory of `B` is elliptical
Trajectory of `B` is circular
`(0,(-b)/2)`
`(a/2,(-b)/2)`

SOLUTION :`(2mx_(B)+mx_(A))/(3m)=a/3impliesx_(A)=a-2x_(B)`
`(2my_(B)+my_(A))/(3m)=0impliesy_(A)=2y_(B)`
Trajectory of `B` is `((a-2x)^(2))/(a^(2))+((2y)^(2))/(b^(2))=1`


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