EASY
12th CBSE
IMPORTANT
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Define a commutative binary operation on a set.

Important Questions on Binary Operations

EASY
12th CBSE
IMPORTANT
Define an associative binary operation on a set.
EASY
12th CBSE
IMPORTANT
Write the total number of binary operations on a set consisting of two elements.
MEDIUM
12th CBSE
IMPORTANT
Write the identity element for the binary operation * defined on the set R of all real numbers by the rule
a*b=3ab7 for all a,b∈R ?
EASY
12th CBSE
IMPORTANT
Let * be a binary operation, on the set of all non-zero real numbers, given by a*b=ab5 for all a,b∈R-0
Write the value of x given by 2*(x* 5)=10.
MEDIUM
12th CBSE
IMPORTANT
Write the inverse of 5 under multiplication modulo 11 on the set 1,2,...,10.
EASY
12th CBSE
IMPORTANT
Define identity element for a binary operation defined on a set.
MEDIUM
12th CBSE
IMPORTANT
Write the composition table for the binary operation multiplication modulo 10 (×10) on the set S= {2, 4, 6, 8}.
MEDIUM
12th CBSE
IMPORTANT
For the binary operation multiplication modulo 10×10 defined on the set S=1,3,7,9, write the inverse of 3.