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If `a,b,c` are in A.P.and `a^(2),b^(2),c^(2)` are in G.P.such that ` a lt b lt c` and `a+b+c=3/2` then `a=`

A

`(1)/(2sqrt(2))`

B

`(1)/(2sqrt(3))`

C

`(1)/(2)-(1)/(sqrt(3))`

D

`(1)/(2) -(1)/(sqrt(2))`

Text Solution

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The correct Answer is:
D
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