Home
Class 12
MATHS
Let * be a Binary operation on the set Q...

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

Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    SUBHASH PUBLICATION|Exercise TWO MARKS QUESTIONS WITH ANSWERS|15 Videos

  • RELATIONS AND FUNCTIONS

    SUBHASH PUBLICATION|Exercise THREE MARKS QUESTIONS WITH ANSWERS|16 Videos

  • PUC SUPPLEMENTARY EXAMINATION QUESTION PAPER JUNE 2019

    SUBHASH PUBLICATION|Exercise PART E|4 Videos

  • SUPER MODEL QUESTION PAPER FOR PRACTICE

    SUBHASH PUBLICATION|Exercise PART - E|4 Videos

Similar Questions

Explore conceptually related problems

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

Define a binary operation on a set

Let * be a binary operation defined on the set of non-zero rational number, by a**b = (ab)/(4) . Find the identity element.

Let * be a Binary operation defined on N by a ** b = 2^(ab) . Prove that * is commutative.

Let ** be a binary operation on the set of natural numbers given by a**b = L.C.M of a and b, find 5**7 ,

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

Let* be a binary operation on the set of natural numbers given by a*b-L.C.M of a and b,find 5*7.

Number of binary opertions on the set {a,b} are

Find the identify element for the binary operation *, defined on the set of Q of rational number, by a * b =(ab)/(4)