MATHEMATICS CLASS XII VOLUME-1>Chapter 3 - Binary Operations>MULTIPLE CHOICE QUESTIONS (MCQs)>Q 23

MEDIUM

12th CBSE

IMPORTANT

Earn 100

Consider the binary operation $$ defined on $Q - \{1\}$ by the rule
$a b = a + b - a b$ for alla, $b \in Q - \{1\}$
The identity element in $Q - \{1\}$ is _______________ .

50% studentsanswered this correctly

Important Questions on Binary Operations

MEDIUM

12th CBSE

IMPORTANT

MATHEMATICS CLASS XII VOLUME-1>Chapter 3 - Binary Operations>MULTIPLE CHOICE QUESTIONS (MCQs)>Q 24

For the binary operation

*

defined on

R - \{1\}

by the rule

a * b = a + b + a b

for all

a, b \in R - \{1\}

, the inverse of

a

is

MEDIUM

12th CBSE

IMPORTANT

MATHEMATICS CLASS XII VOLUME-1>Chapter 3 - Binary Operations>MULTIPLE CHOICE QUESTIONS (MCQs)>Q 25

For the multiplication of matrices as a binary operation on the set of all matrices of the form

[\begin{array}{r} a & b \\ - b & a \end{array}], a, b \in R

the inverse of

[\begin{array}{r} 2 & 3 \\ - 3 & 2 \end{array}]

is

MEDIUM

12th CBSE

IMPORTANT

MATHEMATICS CLASS XII VOLUME-1>Chapter 3 - Binary Operations>MULTIPLE CHOICE QUESTIONS (MCQs)>Q 26

On the set

Q^{+}

of all positive rational numbers a binary operation

*

is defined by

a * b = \frac{a b}{2}

for all

a, b

in

Q^{+}

. The inverse of

8

is _________ .

MEDIUM

12th CBSE

IMPORTANT

MATHEMATICS CLASS XII VOLUME-1>Chapter 3 - Binary Operations>MULTIPLE CHOICE QUESTIONS (MCQs)>Q 27

Let

*

be a binary operation defined on

Q^{+}

by the rule

a * b = \frac{a b}{3}

for all

a, b \in Q^{+} .

The inverse of

4 * 6

is

EASY

12th CBSE

IMPORTANT

MATHEMATICS CLASS XII VOLUME-1>Chapter 3 - Binary Operations>MULTIPLE CHOICE QUESTIONS (MCQs)>Q 28

The number of binary operation that can be defined on a set of

2

elements is _________ .

MEDIUM

12th CBSE

IMPORTANT

MATHEMATICS CLASS XII VOLUME-1>Chapter 3 - Binary Operations>MULTIPLE CHOICE QUESTIONS (MCQs)>Q 29

The number of commutative binary operations that can be defined on a set of

2

elements is ____________ .