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a,b,c,d in R^+ such that a,b and c are i...

a,b,c,d `in R^+` such that a,b and c are in H.P and ap.bq, and cr are in G.P then `p/r+r/p` is equal to

A

ab=cd

B

ac=bd

C

bc=ad

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
C
2b=a+c,`c=(2bd)/(b+d)`
`rArr2bd=c(b+d)`
`rArr(a+c)d=c(b+d)` [as 2b=a+c]
`rArrad+cd=bc+cd`
`rArr bc=ad`
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CENGAGE ENGLISH-PROGRESSION AND SERIES-EXERCIESE ( SINGLE CORRECT ANSWER TYPE )
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