यदि `A:B:C=2:3:4` है, तो `A/B:B/C:C/A` किसके बराबर है?

Options

A. `8:9:16`
B. `8:9:12`
C. `8:9:24`
D. `4:9:16`

Answer

C

Explanation

`A:B:C`
`:. A/B:B/C:C/A`
(Multiply with ABC)
`:.(AxxABC)/B:(BxxABC)/C: (CxxABC)/A`
`A^(2)C:B^(2)A:BC^(2)`
`implies (2)^(2)xx4:(3)^(2)xx2:3xx(4)^(2)`
`implies 16:18:48`
`8:9:24`
Alternate :
`A/B:B/C:C/A=2/3:3/4:4/2`
`implies2/3xx12:3/4xx12:4/2xx12`
`implies 8:9:24`