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`

Options

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)`

Answer

D