If a+(1/b)=1 and b+(1/c)=1 then c+(1/a) is equal to:

  1. 2
  2. 1
  3. 1/2
  4. 0
Anurag Mishra Professor Asked on 10th December 2015 in Maths.
Add Comment
  • 1 Answer(s)

    Answer: (2) 1 

    Explanation:-
    a + 1/b = 1
    =>(a b + 1)/b = 1
    a b + 1 = b
    b –  a b = 1
    b (1 – a)  = 1
    b = 1/(1 – a)  ………………………… (1)

    b + 1/c = 1
    From equation (1),  b = 1/(1 – a)
    1/(1 – a) + 1/c = 1
    (c + 1 – a)/c (1 – a) = 1
    c – a + 1 = c – c a 
    – a + 1 = – c a 
    a – c a = 1
    a (1 – c) = 1
    a = 1/(1 – c)

    Now, the value of c + 1/a
    Put the value of a = 1/(1 – c)
    Then, c + 1/{1/(1 – c) }
     = c + 1 – c
     = 1

    Thus, the value of c + 1/a = 1

    Hence, the answer is (2) 1. 

    Anurag Mishra Professor Answered on 11th December 2015.
    Add Comment
  • Your Answer

    By posting your answer, you agree to the privacy policy and terms of service.