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Question

1 is the only number which is its own reciprocal. State whether the statement is true (T) or false (F).


A
True
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B
False
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Solution

The correct option is B False

Verify the given statement

Let us assume that x is a real number.

Thus, the reciprocal of the number will be 1x.

If the given number and its reciprocal are the same, then x=1x.

x·x=1x2=1x=±1x=±1

Therefore, 1 is not the only number that is its own reciprocal.

Hence, the given statement is false.


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