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Properties of GP

If a, b, c ar...

Question

If a, b, c are in GP, then correct statement is :

A

a c = b^{2}

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B

\sqrt{a c}

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C

a + c = 2 b

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D

\sqrt{a c} > b

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Solution

The correct option is C $a c = b^{2}$
$a, b, c$ are in GP
$⟹ r = \frac{b}{a} = \frac{c}{b} ⟹ b^{2} = a c$

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