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Let `*` be the binary operation on N given by `a*b = LdotCdotMdot` of a and b. Find (i) `5 * 7, ...

1,487 views · Published 20 July 2018 · 6:53 · Indexed 25 September 2026

Channel: Doubtnut · 2018 · Education

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Question From - NCERT Maths Class 12 Chapter 1 EXERCISE 1.4 Question – 6 RELATIONS AND FUNCTIONS CBSE, RBSE, UP, MP, BIHAR BOARD

QUESTION TEXT:-
Let `*` be the binary operation on N given by `a*b = LdotCdotMdot` of a and b. Find (i) `5 * 7, 20 * 16` (ii) Is `*` commutative? (iii) Is `*` associative? (iv) Find the identity of `*` in N (v) Which elements of N are invert

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Related Questions & Solutions:

1. Determine whether or not each of the definition of given below gives a binary operation. In the event that * is not a binary operation, give justification for this. (i) `O n Z^+, d efin e *b ya*b = a ...
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2. For each binary operation * defined below, determine whether * is commutative or associative. (i) `O n Z , d efin e a*b = a - b` (ii) `O n Q , d efin e a*b = a b + 1` (iii) `O n Q , d efin e a*b =(a b...
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3. Consider the binary operation `^^` on the set `{1, 2, 3, 4, 5}` defined by `a^^ b = m in {a , b}` . Write the operation table of the operation `^^` ....
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4. Consider a binary operation * on the set `{1, 2, 3, 4, 5}` given by the following multiplication table. (i) Compute (2*3)*4 a n d 2*(3*4) (ii) I s * com mu t a t i v e ? (iii) Compute (2*3)...
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5. Let `*prime` be the binary operation on the set `{1, 2, 3, 4, 5}` defined by `a*primeb= HdotCdotFdot` of a and b. Is the operation `*prime` same as the operation `*` defined in Exercise 4 above? Justi...
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Get Classwise & Chapterwise Definitions & Solutions from NCERT Book:

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• NCERT Solutions for Class 12 - https://doubtnut.com/ncert-solutions/class-12-maths-1
• NCERT Solutions for Class 12, Chapter 1 - https://doubtnut.com/ncert-solutions/class-12-maths-chapter-1-relations-and-functions-1


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