Mathematics
Suppose \(a,b,c\) are in A.P. and \(a^{2},b^{2},c^{2}\) are in G.P. If
\(a < b < c\) and \(a + b + c = 3/2\), then the value of \(a\) is
A
\(\frac{1}{2\sqrt{2}}\)
B
\(\frac{1}{2\sqrt{3}}\)
C
\(\frac{1}{2} + \frac{1}{\sqrt{2}}\)
D
\(\frac{1}{2} - \frac{1}{\sqrt{2}}\)
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