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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