If a, b, c,d positive distinct number are in H.P., them :

If a, b, c,d positive distinct number are in H.P., them :
A. `ab gt cd`
B. `ac gt bd`
C. `ad gt bc`
D. None of these

Monjur Alahi

4 views

2025-01-04 04:42

1 Answers

Salim Ahmed Kawsar

Correct Answer - 3
a,b,c are in H.P
`(a,b,c gt0)`
`rArr` G.M of a and `cgt H.M` of a and c
`rArrsqrt(ac) gt b`
`rArr ac gt a^(2)" "(i)`
Also b,c,d are in H.P . `(b,c,d gt0)`
G.M. of b,d gt H.M. of b,d
`sqrt(bd) gtc`
`bd gt c^(2)" "......(2)`
multiply(1) and (2)
`abcd gt b^(2) c^(3)`
`rArr ad gt bc`

4 views Answered 2023-02-05 15:29

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