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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/(2sqrt2)`

B

`1/(2sqrt3)`

C

`1/2 -1/sqrt3`

D

`1/2 -1/sqrt2`

Text Solution

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The correct Answer is:
D
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