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यदि `a+1/b=b+1/c=c+1/a` जहां `a!=b!=c` तो `abc` किसके बराबर है?A. `+1`B. `-1`C. `+1` & `-1`D. इनमें से कोई नहीं

Answer» Correct Answer - C
`a+1/b=b+1/c=c+1/a`
Put `a=1/2,b=2, c=-1`
`1/2+1/2=2-1=-1+2`
`1=1=1`
`abc=-1/2xx2x-1`
`abc=-1`
again put
`a=-1/2,b=-2,c=1`
`a+1/b=b+1/c+c+1/a`
`-1/2-1/2=-2+1=1-2`
`-1=-1=-1`
equation satisfied
`abc=-1/2xx-2xx1=1`
So abc can be `-1` and `+1`


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