Home
Class 12
MATHS
Let * be a binary operation on Q defined...

Let * be a binary operation on Q defined by `a**b=ab+1`. Determine whether * is commutative but not associative.

Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    ARIHANT PUBLICATION|Exercise PART V : Question for Practice Part V ( Long Answer Type Questions) |6 Videos
  • RELATIONS AND FUNCTIONS

    ARIHANT PUBLICATION|Exercise ODISHA BUREAU.S TEXTBOOK SOLUTIONS ( Exercise 1 (a))|39 Videos
  • RELATIONS AND FUNCTIONS

    ARIHANT PUBLICATION|Exercise PART V : Question for Practice Part V ( Very Short Answer Type Questions) |6 Videos
  • QUESTION PAPER 2020

    ARIHANT PUBLICATION|Exercise GROUP C (ANSWER ANY ONE QUESTIONS)|13 Videos
  • SAMPLE PAPER 1

    ARIHANT PUBLICATION|Exercise LONG ANSWER TYPE QUESTIONS|13 Videos

Similar Questions

Explore conceptually related problems

Let* be a binary operation on Q, defined by a*b= (3ab)/(5) .Show that is commutative as well as associative. Also, find its identity, if it exists.

Let be a binary operation defined by a*b = 7a+9b. Find 3*4.

If A=N xx N and * is a binary operation on A defined by (a, b) ** (c, d)=(a+c, b+d) . Show that * is commutative and associative. Also, find identity element for * on A, if any.

Let * be a binary operation on N given by a**b=GCD (a, b) for a, b in N . Check the commutativity and associativity of * on N.

Let * be the binary operation on N defined by a* b = HCF of a and b. Is * commutative? Is * associative? Does there exist identity for this binary operation on N?

Let A=R xx R and be the binary operation on A defined by (a, b) *(c,d) = (a + c, b + d). Show that *is commutative and associative. Find the identity element for* on A, if any.