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Mathematics

Algebra

Easy

Question

Suppose a, b and c are in A.P. and $a squared comma b squared text and end text c squared$ are in G.P. If $a less than b less than c$ and $a plus b plus c equals 3 space divided by space 2$ , then the value of a is

$\frac{1}{2 \sqrt{2}}$
$\frac{1}{2 \sqrt{3}}$
$\frac{1}{2} - \frac{1}{\sqrt{3}}$
$\frac{1}{2} - \frac{1}{\sqrt{2}}$

The correct answer is: $1 half minus fraction numerator 1 over denominator square root of 2 end fraction$

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