Q. If the sum and reciprocal of a number is equal to 2, the number is
✅ Correct Answer: (A)
1
Explanation: 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.
Explanation by: Ravi Chauhan
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.
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.