The locus of the midpoint of a chord of the circle \( x^{2}+y^{2} \) \( =4 \) which subtends a r...

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The locus of the midpoint of a chord of the circle \( x^{2}+y^{2} \) \( =4 \) which subtends a right angle at the origin is
(A) \( x+y=2 \)
(B) \( x^{2}+y^{2}=1 \)
(C) \( x^{2}+y^{2}=2 \)
(D) \( x+y=1 \)
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