If the common chord of the circles \( x^{2}+(y-\lambda)^{2}=16 \) and \( x^{2}+y^{2}=16 \) subte...

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If the common chord of the circles \( x^{2}+(y-\lambda)^{2}=16 \) and \( x^{2}+y^{2}=16 \) subtend a right angle at the origin then \( \lambda \) is equal to
(a) 4
(b) \( 4 \sqrt{2} \)
(c) \( \pm 4 \sqrt{2} \)
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