JEE Math Practice Question
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 $${{2\pi } \over 3}$$ at its center is :
- A.$${x^2} + {y^2} = {3 \over 2}$$
- B.$${x^2} + {y^2} = 1$$
- C.$${x^2} + {y^2} = {{27} \over 4}$$
- D.$${x^2} + {y^2} = {{9} \over 4}$$
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