If (a/b)+(b/a)=2, then the value of a-b is:

  1. -1
  2. 0
  3. 1
  4. 2
Monis Rasool Professor Asked on 21st November 2015 in Maths.
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  • 1 Answer(s)

    Answer: (2) 0

    Explanation:-
    a/b + b/a = 2
    (a² + b²)/ab = 2
    a² + b² = 2 ab        ………………….(1)

    (a – b)² = a² + b² – 2 ab
    = 2 ab – 2 ab                              {From equation (1) }
    (a – b)² = 0
    Square root on both side,
    a – b = 0

    Hence, the answer is (2) 0.

    Anurag Mishra Professor Answered on 21st November 2015.
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