Find x, if 2,x,21 are in G.P.

We know that the geometric mean between two numbers a and b is GM=ab. Here, it is given that GM=x, a=2 and b=2 1, therefore, GM=ab⇒x=2×2 1 ⇒x=1⇒x=1 Hence, x=1

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Find x, if 2, x, {1}{ 2} are in G.P.

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Find $x$ , if $2, x, \frac{1}{2}$ are in G.P.

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Charlotte Discussed

Find

x

, if

2, x, \frac{1}{2}

are in G.P.

8 mins ago

Discuss this question LIVE

8 mins ago

Text solutionVerified

We know that the geometric mean between two numbers

a

and

b

GM = ab

Here, it is given that

GM = x

a = 2

and

b = \frac{1}{2}

, therefore,

GM = ab \Rightarrow x = 2 \times \frac{1}{2} \Rightarrow x = 1 \Rightarrow x = 1

Hence,

x = 1

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Question Text	Find $x$ , if $2, x, \frac{1}{2}$ are in G.P.
Answer Type	Text solution:1
Upvotes	150

Find x, if 2​,x,2​1​ are in G.P.

Text solutionVerified

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Find $x$ , if $2, x, \frac{1}{2}$ are in G.P.