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Examine which of the following is a binary operation.
cbse
class12
modelpaper
2012
sec-b
q12
math
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asked
Feb 7, 2013
by
thanvigandhi_1
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Prove that \( tan^{-1} \bigg(\frac{\large 1}{\large 4} \bigg) + tan^{-1} \bigg( \frac{\large 2}{\large 9} \bigg ) = \frac{\large 1}{\large 2} cos^{-1} \bigg( \frac{3}{5} \bigg). \)
cbse
modelpaper
2012
sec-b
q12
ch2
medium
asked
Dec 26, 2012
by
thanvigandhi_1
1
answer
(i) Is the binary operation defined on set N, given by \( a*b = \large\frac{a+b}{2}\) for all a,b \( \in\) N. commutative? (ii) Is the above binary operation associative?
cbse
class12
modelpaper
2012
sec-b
q12
easy
math
asked
Feb 11, 2013
by
thanvigandhi_1
1
answer
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
'*' is a binary operation defined on Q. Find which of the following binary oprations are associative and which are commutative : $(i) a*b=a-b\: for \: a,b \in Q (ii) a*b = \large\frac{ab}{4}$$\: for \: a,b \in Q.$
cbse
class12
modelpaper
2012
sec-b
q11
math
asked
Jan 16, 2013
by
thanvigandhi_1
0
answers
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
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 * 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
Jan 31, 2013
by
thanvigandhi_1
0
answers
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