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

Let * be a binary operation on Q, defined by a * b `=(ab)/(2), AA a,b in Q`. Determine whether * is commutative or associative.

Promotional Banner

Topper's Solved these Questions

  • ANNUAL EXAMINATION QUESTION PAPER MAR-2018

    SUBHASH PUBLICATION|Exercise PART C|14 Videos

  • ANNUAL EXAMINATION QUESTION PAPER MAR-2018

    SUBHASH PUBLICATION|Exercise PART D|10 Videos

  • ANNUAL EXAMINATION QUESTION PAPER MAR-2018

    SUBHASH PUBLICATION|Exercise PART E|4 Videos

  • ANNUAL EXAMINATION QUESTION PAPER JUNE-2019 (WITH ANSWERS)

    SUBHASH PUBLICATION|Exercise EXERCISE|38 Videos

  • ANNUAL EXAMINATION QUESTION PAPER MAR-2019

    SUBHASH PUBLICATION|Exercise PART E|4 Videos

Similar Questions

Explore conceptually related problems

Let * be a binary operation on Q defind by a*b= (ab)/(2), AA a,b in Q Determine whether * is associative or not.

Binary operation * on R - {-1} defined by a * b= (a)/(b+a)

Binary operation * on R -{-1} defined by a ** b = (a)/(b+1) is

Let * be a binary operation on the set R defined by a ** b = (a + b)/2 . Show that * is commulative but not associative.

Let * be a binary operation on N defined by a**b = LCM of a and b. Find 20**16 .

Let * be a binary operation on N defined by a ** b = HCF of a and b. Show that * is both commutative and associative.

A binary operation * on N defined as a ** b = sqrt(a^(2) + b^(2)) , show that * is both cummutative and associative.

Let * be a Binary operation on the set Q of rational number's by a * b = (a -b)^(2) . Prove that * is commutative.

Let A = N xx N 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.

A binary operation * on N defined as a ** b = a^(3) + b^(3) , show that * is commutative but not associative.