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The locus of the midpoints of chords of the circle `x^(2)+y^(2)=1` which subtends a right angle at the origin is

A

`x^(2)+y^(2)=(1)/(4)`

B

`x^(2)+y^(2)=(1)/(2)`

C

`xy=0`

D

`x^(2)-y^(2)=0`

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