Home
Class 12
MATHS
Determine whether or not each of the def...

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 - b`(ii) `O n Z^+,

Answer

Step by step text solution for 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 - b(ii) O n Z^+, by MATHS experts to help you in doubts & scoring excellent marks in Class 12 exams.

Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    MODERN PUBLICATION|Exercise Misellaneous Exercise on Chapter (1)|19 Videos

  • RELATIONS AND FUNCTIONS

    MODERN PUBLICATION|Exercise Exercise|10 Videos

  • RELATIONS AND FUNCTIONS

    MODERN PUBLICATION|Exercise NCERT - FILE (Question from NCERT Book) (Exercise 1.3)|15 Videos

  • PROBABILITY

    MODERN PUBLICATION|Exercise MOCK TEST SECTION D|6 Videos

  • THREE DIMENSIONAL GEOMETRY

    MODERN PUBLICATION|Exercise CHAPTER TEST 11|11 Videos

Similar Questions

Explore conceptually related problems

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) On Z^+ , define ∗ by a ∗ b = a – b (ii) On Z^+ , define ∗ by a ∗ b = ab (iii) On R , define ∗ by a ∗ b = ab^2 (iv) On Z^+ , define ∗ by a ∗ b = |a – b| (v) On Z^+ , define ∗ by a ∗ b = a

Determine whether or not each of the definition of given below gives a binary operation. In the event that is not a binary operation, given justificantion for this. (i) On Z^(+) , define * by a * b = a- b (ii) On Z^(+) , define * by a * b = ab (iii) On R,define * by a * b - ab^(2) (iv) On Z^(+) , define * by a *b = |a - b| (v) On Z^(+) , define * by a* b = a

Determine whether or not each of the definition of '**' given below gives a binary operation. In the event that '**' is not a binary operation, given justification for this: (i) On Z^(+) , define '**' by a**b=a-b (ii) On Z^(+) , define '**' by a**b=ab (iii) On R, define '**' by a**b=ab^(2) (iv) On Z^(+) , define '**' by a**b=|a-b| (v) On Z^(+), define '**' by a**b=a .

Determine whether or not the definition of * On Z^(+) ,defined * by a*b=a-b gives a binary operation.In the event that * is not a binary operation give justification of this. Here,Z^(+) denotes the set of all non-negative integers.

Determine whether or not the definition of * On Z^(+) ,define * by a*b=|a-b| gives a binary operation.In the event that * is not a binary operation give justification of this. Here,Z^(+) denotes the set of all non-negative integers.

Determine whether or not the definition of* On Z^(+) ,defined * by a*b=ab gives a binary operation.In the event that * is not a binary operation give justification of this.Here,Z^(+) denotes the set of all non-negative integers.

Determine whether or not the definition of * On Z^(+), define * by a*b=a gives a binary operation.In the event that * is not a binary operation give justification of this.Here,Z^(+) denotes the set of all non-negative integers.

Determine whether or not the definition of * On R ,define * by a*b=a+4b^(2) gives a binary operation.In the event that * is not a binary operation give justification of this. Here,Z^(+) denotes the set of all non-negative integers.

Determine whether or not the definition of * On R ,define by a*b=ab^(2) gives a binary operation.In the event that * is not a binary operation give justification of this.Here,Z^(+) denotes the set of all non-negative integers.

Determine whether O on Z defined by aOb=a^(b) for all a,b in Z define a binary operation on the given set or not:

Home
Profile