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On the set of positive rational, a binary operation * is defined by . If then find the value of .

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answer is A.

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Detailed Solution

Concept- Under the binary operation, we have a set of positive rational numbers. Then it is defined by some condition. We apply this condition, and then we obtain the value.
Here, set of all positive rational number and is denoted by

.
It is form

is always positive,

Also given that binary operation is ' * ' is defined by

, where

Again, it is given that

, where

Also, 2 belongs to

Because 2 can be written as

, where

Hence,

Here

can be written by using

Also, it is defined by

Here

and

, we get

When substituting

, we get

Multiply 2 by

, we get,

Therefore,

belongs to a set of positive rational numbers.
That is,

Hence, the correct answer is option 1)

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On the set of positive rational, a binary operation * is defined by . If then find the value of .

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