Comprehension Consider three distinct real numbers \( a, b, c \) in a G.P. with \( a^{2}+b^{2}+c...

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Counter-Strike: Source
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Counter-Strike: Source (2004)
Duration: 13:59
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Comprehension
Consider three distinct real
numbers \( a, b, c \) in a G.P. with \( a^{2}+b^{2}+c^{2}=t^{2} \) and \( a+b+c=\alpha t \).
Sum of the common ratio and its reciprocal is denoted by \( S \).
Complete set of \( \alpha^{2} \) is
(a) \( \left(\frac{1}{3}, 3\right) \)
(b) \( \left[\frac{1}{3}, 3\right] \)
(c) \( \left(\frac{1}{3}, 3\right)-\{1\} \)
(d) \( \left(-\infty, \frac{1}{3}\right) \cup(3, \infty) \)
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