Suppose a ,b ,c are in A.P and a^(2) , b...

Suppose a ,b ,c are in A.P and `a^(2) , b^(2) , c^(2)` are in G.P. If `a lt b lt c ` and a+b+c `= (3)/(2)` then the value of a is

A

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

B

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

C

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

D

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

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The correct Answer is:

D

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