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Choose the correct alternative: Which one of the following is a binary operation on N ? - Mathematics

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प्रश्न

Choose the correct alternative:

Which one of the following is a binary operation on N?

पर्याय

  • Subtraction

  • Multiplication

  • Division

  • All the above

MCQ

उत्तर

Multiplication

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पाठ 12: Discrete Mathematics - Exercise 12.3 [पृष्ठ २४९]

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सामाचीर कलवी Mathematics - Volume 1 and 2 [English] Class 12 TN Board
पाठ 12 Discrete Mathematics
Exercise 12.3 | Q 3 | पृष्ठ २४९

संबंधित प्रश्‍न

Determine whether the following operation define a binary operation on the given set or not : 'O' on Z defined by a O b = ab for all a, b ∈ Z.


Determine whether or not the definition of * given below gives a binary operation. In the event that * is not a binary operation give justification of this.

 On Z+, define * by a * b = a

Here, Z+ denotes the set of all non-negative integers.


Check the commutativity and associativity of the following binary operation '*' on Z defined by a * b = a − b for all ab ∈ Z ?


On Q, the set of all rational numbers a binary operation * is defined by \[a * b = \frac{a + b}{2}\] Show that * is not associative on Q.


On the set Z of integers, if the binary operation * is defined by a * b = a + b + 2, then find the identity element.


Let 'o' be a binary operation on the set Q0 of all non-zero rational numbers defined by \[a o b = \frac{ab}{2}, \text{ for all a, b } \in Q_0\] :

 Find the identity element in Q0.


For the binary operation ×10 on set S = {1, 3, 7, 9}, find the inverse of 3.


Find the inverse of 5 under multiplication modulo 11 on Z11.


For the binary operation multiplication modulo 10 (×10) defined on the set S = {1, 3, 7, 9}, write the inverse of 3.


If the binary operation * on the set Z of integers is defined by a * b = a + 3b2, find the value of 2 * 4.


Let * be a binary operation on N given by a * b = HCF (a, b), a, b ∈ N. Write the value of 22 * 4.


If the binary operation * on Z is defined by a * b = a2 − b2 + ab + 4, then value of (2 * 3) * 4 is ____________ .


Which of the following is true ?


Let * be a binary operation on R defined by a * b = ab + 1. Then, * is _________________ .


The number of commutative binary operations that can be defined on a set of 2 elements is ____________ .


Determine whether * is a binary operation on the sets-given below.

a * b – a.|b| on R


Let A = {a + `sqrt(5)`b : a, b ∈ Z}. Check whether the usual multiplication is a binary operation on A


Let * be a binary operation on set Q – {1} defind by a * b = a + b – ab : a, b ∈ Q – {1}. Then * is ____________.


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


Let * be the binary operation on N given by a * b = HCF (a, b) where, a, b ∈ N. Find the value of 22 * 4.


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