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

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

A

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

B

`x^2+ y^2=1`

C

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

D

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

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