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An endless inextensible string of length...

An endless inextensible string of length 15 m passes around two pins, A and B which are 5 m apart. This string is always kept tight and a small ring, R, of negligible dimensions, inserted in this string is made to move in a path keeping all segments RA, AB, RB tight (as mentioned earlier). The ring traces a path, given by conic. C, then:

A

Conic C is an ellipse with eccentricity `(1)/(2)`

B

Conic C is an hyperbola with eccentricity 2

C

Conic C is an ellipse with eccentricity `(1)/(3)`

D

Conic C is an hyperbola with eccentricity `(3)/(2)`

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The correct Answer is:
A
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