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The sum of squares of three distinct rea...

The sum of squares of three distinct real numbers which form an increasing GP is `S^2` (common ratio is r). If sum of numbers is `alpha S`, then if `r=3` then `alpha^2` cannot lie in

A

`((1)/(j3),1)`

B

`(1,2)`

C

`((1)/(3),3)`

D

`(1,3)`

Text Solution

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The correct Answer is:
A
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Knowledge Check

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  • The sum of the squares of three distinct real numbers which are in GP is S^(2) , if their sum is alpha S , then

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    `1 lt alpha^(2) lt 3`
    B
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