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A varies directly with B when C is const...

A varies directly with B when C is constant and inversly with C when B is constant . A=6, when B=2 and C=3. What is the value of A, when B=3 and C=18?

A

`(1)/(2)`

B

`(5)/(2)`

C

`(3)/(2)`

D

`(7)/(2)`

Text Solution

Verified by Experts

The correct Answer is:
C
`"Given", A alpha B " " (1) ("C is constant.")`
`A prop (1)/(C) " " (2) ("B is constant.")`
From Eqs (1) and (2), we get
`A = (KB)/(C)," where " K " is constant".`
`(AC)/(B) = K`
(i) A = 6, B = 2, and C = 3
`therefore K = (6 xx 3)/(2) = 9`
(ii) A = ?, B = 3, and C = 18
`(A xx 18)/(3) = 9`
`rArr A = (3)/(2)`
Hence, the correct option is (c).
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Knowledge Check

  • A varies directly with B when C is constant and inversely with C when B is constant. A = 6, when B = 2 and C = 3. What is the value of A, when B = 3 and C = 18?

    A
    `1/2`
    B
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    D
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    A
    8
    B
    `8.33`
    C
    9
    D
    `9.5`

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    A
    `4/c^(3)`
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