Home
Class 12
MATHS
A binary openation * is defined on t...

A binary openation * is defined on the set of all integers Z by `a"*"b= a+b+5, a,b in Z` . Find whether * is associative on Z .

Promotional Banner

Topper's Solved these Questions

  • RELATION AND FUNCTIONS

    CHHAYA PUBLICATION|Exercise JEE main (AIEEE ) Archive|3 Videos
  • RELATION AND FUNCTIONS

    CHHAYA PUBLICATION|Exercise JEE Advanced Archive|3 Videos
  • RELATION AND MAPPING

    CHHAYA PUBLICATION|Exercise Assertion Type|2 Videos
  • RELATIONS

    CHHAYA PUBLICATION|Exercise Sample Question for Competitive Examination (Assertion -Reason Type )|2 Videos

Similar Questions

Explore conceptually related problems

A binary operation * is defined on the set of all integers Z by a * b=a+b+5, a,binZ Find whether * is associative on Z.

A binary operation ** is defined on the set ZZ of all integers by a@b=a+b-3 for all a,binZZ . Determine the inverse of 5inZZ .

A binary operation * is defined on the set of real numbers R by a*b = 2a + b - 5 for all a, b in R If 3* (x*2) = 20, find x

*' is an operation defined on Z set of all integers as a*b = a+b-2 for all a,b in z . Find identity element of *'

A binary operation ** is defined on the set of real numbers RR by a**b=2a+b-5 for all a,bin RR . If 3**(x-2)=20 find x.

*' is an operation defined on Z set of all integers as a*b = a+b-2 for all a,b in z . Find the inverse of an element ainZ .

A binary operation @ is defined on ZZ , the set of integers, by a@b=|a-b| for all a,binZZ. Find the value of 3a@2b when a=-3and b=-2

If * is defined on the set Z of all integers by *: a * b = a+b-4 , find the inverse element, if exists in Z with respect to *

If ** be the binary operation on the set ZZ of all integers, defined by a**b=a+3b^(2) , find 2**4.

An operation ** is defined on the set of real numbers RR by a**b=ab+5 for all a,binRR . Is ** a binary operation on RR ?.