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The sum of a number and its reciprocal is . Then number is:

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\frac{1}{3}

1 and 2 both

None of the above

answer is C.

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Detailed Solution

Concept-As given in the question there is one number and reciprocal of its number is

And we need to find the value of that number.
Let’s assume the number is

Hence, the reciprocal of the number is

And as per given question the sum of the number is

So, we get a equation

( by solving this we will get )

So, from this equation we can take -1 as common an keep it outside , we will get

3 x (x - 3) - x + 3 = 0

As we can see that x-3 is common, we can take it outside , we will get

Now we can write it as

Let consider the first one

we will get

Now let consider

We will get ,
Question Image

Therefore , we can state that

Hence, the correct option is 3) 1 and 2 both

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