No products in the cart.

  1. Homework Help
  2. CBSE
  3. Class 12
  4. Mathematics

Let * defined on the set …

CBSE, JEE, NEET, CUET

CBSE, JEE, NEET, CUET

Question Bank, Mock Tests, Exam Papers

NCERT Solutions, Sample Papers, Notes, Videos

Install Now
Let * defined on the set {1, 2, 3, 4, 5} by a*b=L.C.M of a and b. Is * a binary operation? Justify your answer.

    • Posted by Antony Jeslin 5 years, 2 months ago

    CBSE > Class 12 > Mathematics
    • 1 answers

    Gaurav Seth 5 years, 2 months ago

    Consider the composition table :

    LCM 1 2 3 4 5
    1 1 2 3 4 5
    2 2 2 6 4 10
    3 3 5 3 12 15
    4 4 4 12 4 20
    5 5 10 15 20 5

    In the given composition table, all the elements are not in the set {1, 2, 3, 4, 5}.

    If we consider a = 2 and b = 3, a * b = LCM of a and b = 6 ∉ {1, 2, 3, 4, 5}.

    Thus, * is not a binary operation on {1, 2, 3, 4, 5}.

    0Thank You

    ANSWER
    http://mycbseguide.com/examin8/

    Related Questions

    Prove that tan–¹ (x+1) + tan–¹(x-1) = tan–¹ 8/31

    • Posted by Ananya Singh 1 year, 3 months ago

    CBSE > Class 12 > Mathematics
    • 0 answers
    Find all vectors of magnitude 10√3 that are perpendicular to the plane of i+2j+k and -i+3j+4k

    • Posted by Sanjay Kumar 1 year, 2 months ago

    CBSE > Class 12 > Mathematics
    • 0 answers
    Y=sin√ax^2+√bx+√c

    • Posted by Karan Kumar Mohanta 1 year, 2 months ago

    CBSE > Class 12 > Mathematics
    • 0 answers
    Project on to minimise the cost of the food, meeting the dietary requirements of the staple food of the adolescent students of your school. Task to be done 1. Make a survey of atleast 100 people to find the staple food they consume on daily basis. 2. Select two food items constituting one cereal and one pulse. 3. Find from dietician minimum requirement of protein and carbohydrates for an andolescent and also find the content of protein and carbohydrates in 1 Kg of selected cereal and pulse from the market. 4. Find the minimum cost of the selected cereal and pulse from market. 5. formulate the corresponding linear programming problem. 6. solve the problem graphically. 7. Interpret the result.

    • Posted by Guruansh Singh Malra 9 months, 2 weeks ago

    CBSE > Class 12 > Mathematics
    • 0 answers
    Y= 1/2 [tan¯¹(2x/1-x²) + 2tan¯¹(1/x)

    • Posted by Charu Baid 1 year, 2 months ago

    CBSE > Class 12 > Mathematics
    • 0 answers
    function f is defined as f(x) = {2x+2, x<2; k, x=2; 3x, x>2} find the value of k for which the function f is continuous at x=2

    • Posted by Krishnanjali Nigam 1 year, 3 months ago

    CBSE > Class 12 > Mathematics
    • 2 answers
    What is the maximum value of the function sin x + cosx

    • Posted by Xxxxxx Xx 1 year, 2 months ago

    CBSE > Class 12 > Mathematics
    • 0 answers
    Find the second order derivatives of the functions x²+3x+2

    • Posted by Sanjna Gupta 1 year, 2 months ago

    CBSE > Class 12 > Mathematics
    • 4 answers
    Three friends Ravi Raju

    • Posted by Sneha Pandey 1 year, 3 months ago

    CBSE > Class 12 > Mathematics
    • 0 answers
    What is the maximum value of sinx + cos x

    • Posted by Xxxxxx Xx 1 year, 2 months ago

    CBSE > Class 12 > Mathematics
    • 3 answers

    myCBSEguide App

    myCBSEguide

    Trusted by 1 Crore+ Students

    Install Now

    Test Generator

    Test Generator

    Create papers online. It's FREE.

    Try Now

    CUET Mock Tests

    CUET Mock Tests

    75,000+ questions to practice only on myCBSEguide app

    Install Now
    Google Play

    Download myCBSEguide App

    All Courses

    Other Websites

    CBSE Courses

    Resources

    Corporate

    NCERT Solutions

    CBSE Sample Papers

    All Content and Intellectual Property is under Copyright Protection | myCBSEguide.com ©2007-2025