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3. Binary Operations
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Q12 of 123 Page 3

Mark the correct alternative in each of the following:

Which of the following is true?


Option C and D are self-explanatory and option A is false because The o/p will result in a rational quantity whereas according to the definition it belongs to an integer value.

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10

Mark the correct alternative in each of the following:

If the binary operation is defined on the set Q+ of all positive rational numbers by . Then, is equal to


11

Mark the correct alternative in each of the following:

Let * be a binary operation defined on set Q – {1} by the rule a * b = a + b – ab. Then, the identity element for * is


13

The binary operation * defined on N by a * b = a + b + ab for all a, b ∈ N is

14

Mark the correct alternative in each of the following:

If a binary operation * is defined by a * b = a2 + b2 + ab + 1, then (2 * 3) * 2 is equal to


Questions · 123
3. Binary Operations
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