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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

`1/4-1/sqrt 2`

B

`1/4-1/(3 sqrt 2)`

C

`1/4-1/(4 sqrt 2)`

D

`1/4-1/(2 sqrt 2)`

Text Solution

Verified by Experts

The correct Answer is:
D
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