question_answer

Suppose a, b, c are in A. P and \[{{a}^{2}},\]\[{{b}^{2}},\]\[{{c}^{2}}\]are in G.P.  If a< b< c and \[a+b+c=\frac{3}{2},\] then the value of a is

A)  \[\frac{1}{2\sqrt{2}}\]              

B)  \[\frac{1}{2\sqrt{3}}\]

C)  \[\frac{1}{2}-\frac{1}{\sqrt{3}}\]                      

D)  \[\frac{1}{2}-\frac{1}{\sqrt{2}}\]

E)  None of these