Let \( x^{2}+y^{2}=4 r^{2} \) and \( x y=1 \) intersects at \( A \)...

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Let \( x^{2}+y^{2}=4 r^{2} \) and \( x y=1 \) intersects at \( A \) and \( B \) in
\( \mathrm{P} \) first quadrant. If \( A B=\sqrt{14} \) units, then the value of

W \( |r| \) is
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