Suppose \[a,\,b,\,c\] are in A.P. and \[{{a}^{2}},{{b}^{2}},{{c}^{2} – McqOptions

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1.	Suppose \[a,\,b,\,c\] are in A.P. and \[{{a}^{2}},{{b}^{2}},{{c}^{2}}\] are in G.P. If a < b < cand \[a+b+c=\frac{3}{2}\], then the value of a is [IIT Screening 2002]
A.	\[\frac{1}{2\sqrt{2}}\]
B.	\[\frac{1}{2\sqrt{3}}\]
C.	\[\frac{1}{2}-\frac{1}{\sqrt{3}}\]
D.	\[\frac{1}{2}-\frac{1}{\sqrt{2}}\]
Answer» E.

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