Show that addition and multiplication ar...

Show that addition and multiplication are associative binary operation on R. But subtraction is not associative on R . Division is not associative on `R^(**)`

Topper's Solved these Questions

RELATIONS AND FUNCTIONS
KUMAR PRAKASHAN|Exercise Solutions of NCERT Exemplar Problems (Short Answer Type Questions)|19 Videos
RELATIONS AND FUNCTIONS
KUMAR PRAKASHAN|Exercise Solutions of NCERT Exemplar Problems (Long Answer Type Questions)|30 Videos
RELATIONS AND FUNCTIONS
KUMAR PRAKASHAN|Exercise Textbook based MCQs|64 Videos
PROBABILITY
KUMAR PRAKASHAN|Exercise Practice Paper - 13 (Section - D (Answer the following questions))|2 Videos
THREE DIMENSIONAL GEOMETRY
KUMAR PRAKASHAN|Exercise PRACTICE PAPER -11|16 Videos

Similar Questions

Explore conceptually related problems

Show that addition and multiplication are associative binary operation on R. But subtraction and division is not associative on R.

Show that subtraction and division are not binary operations on N.

What is association ?

Show that addition, subtraction and multiplication are binary operations on R, but division is not a binary operation on R. Further, show that division is a binary operation on the set R^(**) of nonzero real numbers.

KUMAR PRAKASHAN-RELATIONS AND FUNCTIONS -Textbook Illustrations for Practice Work

Show that the VV: RxxR rarr R given by (a, b) rarr max {a, b} and th...
Text Solution
|
Show that + : Rxx R rarr R and xx: R xxR rarr R are commutative binar...
Text Solution
|
Show that **: RxxR rarr R defined by a^(**) b = a + 2b is not commuta...
Text Solution
|
Show that addition and multiplication are associative binary operation...
Text Solution
|
Show that ""^** : R xxR rarr R given by a^** b rarr a + 2b is not ass...
Text Solution
|
Show that zero is the identity for addition on R and 1 is the identity...
Text Solution
|
Show that -a is the inverse of a for the addition operation '+' on R...
Text Solution
|
Show that -a is not the inverse of a in N for the addition operation...
Text Solution
|
If R1 and R2 are equivalence relations in a set A, show that R(1) cap...
Text Solution
|
Let R be a relation on the set A of ordered pairs of positive integers...
Text Solution
|
Let X = {1, 2, 3, 4, 5, 6, 7, 8, 9). Let R1 be a relation in X given ...
Text Solution
|
Let f: X rarrY be a function. Define a relation R in X given by R = {...
Text Solution
|
Determine which of the following binary operations on the set R are as...
Text Solution
|
Determine which of the following binary operations on the set R are as...
Text Solution
|
Find the number of all one-one functions from set A = {1, 2, 3} to its...
Text Solution
|
Let A = {1, 2, 3} Then show that the number of relations containing (1...
Text Solution
|
Show that the number of equivalence relation in the set {1, 2, 3} cont...
Text Solution
|
Show that the number of binary operations on {1, 2} having 1 as identi...
Text Solution
|
Consider the identity function I(N) : N rarr N defined as I(N) (x) = ...
Text Solution
|
Consider a function f : [0,(pi)/2]rarrR given by f(x) = sin x and g :...
Text Solution
|