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Q. If the sum and reciprocal of a number is equal to 2, the number is

  • (A) 1
  • (B) -1
  • (C) 2
  • (D) -2
  • Correct Answer - Option(A)
  • Views: 4
  • Filed under category Math
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Explanation by: Admin
Suppose the number is a.

So, according to the question -

a + 1/a = 2

(a^2 + 1)/a = 2

a^2 + 1 = 2a

Or, a^2 + 1 -2a = 0

We can say that (a - 1)2 = 0

So, a =1

Hence the required number is 1, whose sum and reciprocal are equal to 2.

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