यदि `a+1/b=1` और ` b+1/c=1` है तो `c+1/a` किसके बराबर है?

Options

A. 0
B. `1/2`
C. `1`
D. `2`

Answer

C

Explanation

`a+1/b=1, b+1/c=1,c+1/a=?`
Put values,
`a=1/2 b=2 c=-1`
`c+1/a=-1+1/((1/2))=-1+2=1`
Alternate
`implies a+1/b=1`……………….(i)
`impliesa=1-1/b=(b-1)/b`
`1/a=b/(b-1)impliesb+1/c=1`
`1/c=1-b, c=1/(1-b)`
`:. c+1/a=1/(1-b)+b/(b-1)`
`1/(1-b)-b/(1-b)=(1-b)/(1-b)=1`