If the limiting points of the system of circles \( x^{2}+y^{2}+2 g x+\lambda\left(x^{2}+y^{2}+2 ...

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If the limiting points of the system of circles \( x^{2}+y^{2}+2 g x+\lambda\left(x^{2}+y^{2}+2 f y+k\right)=0 \), where \( \lambda \) is a parameter, subtend a right angle at the origin, then \( k / f^{2}= \)
(a) \( -1 \)
(b) 1
(c) 2
(d) none of these
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