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If a + (1)/(b) = 1 and b + (1)/(c) = 1, ...

If `a + (1)/(b) = 1 and b + (1)/(c) = 1,` then the value of `c+ (1)/(a)` is

A

0

B

`1/2`

C

`1`

D

2

Text Solution

Verified by Experts

The correct Answer is:
C
`a+(1)/(b) = b + (1)/(c ) =1`
`:. a + 1 -(1)/(b) = (b-1)/(b)`

`eq^(n)` (i) तथा (ii) से
`:. c + (1)/(a) = (1)/(a-b) + (b)/( b-1)`
`implies (1-b)/(1-b) = 1 `
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