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A particle of mass m is subjected to an attractive central force of magnitude `k/(r^2)` being a constant. At the instant when the particle is at its extreme position in its closed orbit at a distance 'a' from the centre of force, its speed is `k/(2ma)`. If the distance of other extreme is b, find `a/b`.

A

`-1`

B

2

C

3

D

4

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