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If a, b and c are three positive numbers...

If a, b and c are three positive numbers in an arithmetic progression, then:

A

`acgtb^(2)`

B

`b^(2)gta+c`

C

`ab+bcle2ac`

D

`ab+bcge2ac`

Text Solution

Verified by Experts

The correct Answer is:
D
Since, a, b, c, are in AP
`(1)/(a),(1)/(b),(1)/(c)` are in HP.
Since, `AM ge HM`
`implies" "bge(2ac)/(a+c)`
`["since AM=b and HM"=(2ac)/(a+c)]`
`implies" "ab+bc ge2ac`
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NDA PREVIOUS YEARS-SEQUENCE AND SERIES -MATH
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