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Let * be binary operation of N x N defined by (a,b)*(c,d)=(a+c, b+d). Show that * is commutative as well as associative. Find the identity element for the operation * on N x N, if any.
cbse
class12
modelpaper
2012
sec-b
q11
math
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asked
Jan 31, 2013
by
thanvigandhi_1
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Related questions
Let * be binary operation of N x N defined by (a,b)*(c,d)=(a+c,b+d). Show that * is commutative as well as associative. Find the identity element for the operation * on N x N, if any.
cbse
class12
modelpaper
2012
sec-b
q11
math
asked
Feb 2, 2013
by
thanvigandhi_1
0
answers
Let\(A=N \times N \,and\, \ast \) be the binary operation on \(A\) defined by \( (a, b) \ast (c, d) = (a + c, b + d)\). Show that \(\ast\) is commutative and associative. Find the identity element for \(\ast\) on \( A \), if any.
cbse
class12
bookproblem
ch1
sec4
q11
p25
sec-b
math
asked
Nov 21, 2012
by
vaishali.a
1
answer
Let A = N x N and * be a binary operation on A defined by (a,b)*(c,d)=(ac,bd), show that : (i) (A*) is commutative. (ii) (A*) is associative (iii) Find the identity element, if any, in A.
cbse
class12
modelpaper
2012
sec-c
q23
math
asked
Jan 31, 2013
by
thanvigandhi_1
0
answers
Let * be binary operation on Q defined by $ a*b=\large\frac{3ab}{5} $ show that * is commutative as well as associative. Also find its identity element if it exists.
cbse
class12
modelpaper
2012
sec-b
q12
math
asked
Feb 4, 2013
by
thanvigandhi_1
0
answers
Let * be the binary operation on N given by p * q = LCM of p and q. Find (i) 12 * 56 (ii) whether * is commutative? (iii) whether * is associative (iv) identity of * in N.
cbse
class12
modelpaper
2012
sec-b
q11
math
asked
Jan 15, 2013
by
thanvigandhi_1
0
answers
On the set $R -\{ -1\} $ a binary operation $\ast$ is defined by $a \ast b = a + b + ab$ for all $a,b \in R - \{-1\}$. Prove that $\ast$ is commutative as well as associative on $R -\{-1\}$. Find the identity element on $\ast$ if any.
cbse
class12
maths
ch1
sec-c
asked
Dec 21, 2016
by
priyanka.c
1
answer
A binary operation * on the set (0,1,2,3,4,5} is defined as : $ f(x) = \left\{ \begin{array}{l l}a+b, & \quad if { a+b < 6} \\ a+b-6, & \quad if { a+b \geq 6} \end{array} \right. $ Show that zero is the identity for this operation and each element 'a' of the set is invertible with 6-a, being the inverse of 'a'.
cbse
class12
modelpaper
2012
sec-b
q11
medium
math
asked
Feb 5, 2013
by
thanvigandhi_1
1
answer
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