MEDIUM
12th CBSE
IMPORTANT
Earn 100

Consider the binary operation * defined on Q1 by the rule
a*b=a+bab for alla,bQ1
The identity element in Q1 is _______________ .

50% studentsanswered this correctly

Important Questions on Binary Operations

MEDIUM
12th CBSE
IMPORTANT
For the binary operation * defined on R1 by the rule a*b=a+b+ab for all a, bR1, the inverse of a is
MEDIUM
12th CBSE
IMPORTANT
For the multiplication of matrices as a binary operation on the set of all matrices of the form ab-ba,a,bR the inverse of 23-32 is 
MEDIUM
12th CBSE
IMPORTANT
On the set Q+ of all positive rational numbers a binary operation * is defined by a*b=ab2 for all a, b in Q+. The inverse of 8 is _________ .
MEDIUM
12th CBSE
IMPORTANT
Let * be a binary operation defined on Q+ by the rule a*b=ab3 for all a,bQ+. The inverse of 4 * 6 is
EASY
12th CBSE
IMPORTANT
The number of binary operation that can be defined on a set of 2 elements is _________ .
MEDIUM
12th CBSE
IMPORTANT
The number of commutative binary operations that can be defined on a set of 2 elements is ____________ .