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Q.

The numbers and are their own reciprocals.

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a

1,0

b

0,2

c

1,-1

d

2,3

answer is C.

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Detailed Solution

Let a be a number. We define the reciprocal of the number a to be the fraction 1a. Let us look at the definition of a rational number. A rational number is a number that can be expressed as a fraction of two integers, that is in the form

\frac{p}{q}

, where p, q∈R and q ≠ 0.
We have to find two numbers that are their own reciprocal. This means that the reciprocal of this number is the number itself. Let us consider the number 1. Its reciprocal is

\frac{1}{1}

= 1. So, 1 is its own reciprocal. Similarly, the number −1. Its reciprocal is

- \frac{1}{1} = - 1

. Hence, we have the following statement, the numbers 1 and −1 are their own reciprocals.

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