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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)/( 2 sqrt(2))`

B

`(1)/( 2 sqrt(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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