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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)`

Text Solution

Verified by Experts

The correct Answer is:
D
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