The locus of the mid point of a chord of the circle \( x^{2}+y^{2}=...

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The locus of the mid point of a chord of the circle \( x^{2}+y^{2}=4 \) which subtends a right angle at the origin
\( \mathrm{P} \) is:

W
(A) \( x+y=2 \)
(B) \( x^{2}+y^{2}=1 \)
(C) \( x^{2}+y^{2}=2 \)
(D) \( x+y=1 \)
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