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If a ,1/b ,a n d1/p ,q ,1/r from two ari...

If `a ,1/b ,a n d1/p ,q ,1/r` from two arithmetic progressions of the common difference, then `a ,q ,c` are in A.P. if `p ,b ,r` are in A.P. b. `1/p ,1/b ,1/r` are in A.P. c. `p ,b ,r` are in G.P. d. none of these

A

p,b,r are in A.P

B

`1/p,1/b,1/r are in A.P`

C

p,b,r are in G.P

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
B
Since a,q and c are in A.P. so
2q=a+c
`rArr1/p+1/r=2/b`
`rArr1/p,1/b,1/r` are in A.P.
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CENGAGE ENGLISH-PROGRESSION AND SERIES-EXERCIESE ( SINGLE CORRECT ANSWER TYPE )
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