Let C be the circle with centre (0,0) an...

Let C be the circle with centre (0,0) and radius 3 units. The equation of the locus of the mid-point of the chords of the circle C that subtend an angle of `(2pi)/3` at its centre is

A

`x^2+y^2=9/4`

B

`x^2+y^2=3/2`

C

`x^2+y^2=1`

D

`x^2+y^2=27/4`

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