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

Suppose `a,b,c` are in AP and `a^(2),b^(2),c^(2)` are in GP, If `agtbgtc` and `a+b+c=(3)/(2)`, than find the values of a and c.

A

`1/(2sqrt2)`

B

`1/(2sqrt3)`

C

`1/2-1/sqrt3`

D

`1/2-1/sqrt2` .

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