Binary Operation

Q.

A binary operation can be defined only on the set of real numbers

1. True

2. False

Q.

Which of the following is not a binary operation defined on the set of positive real numbers?

1. Addition

2. Subtraction

3. Division

4. Multiplication

Q.

If A = {$x:x^2-5x+6=0$}, B = {2, 4} , C = {4, 5}, then $A\times (B\cap C$) is ___

1. {(2, 4), (3, 4)}

2. {(4, 2), (4, 3)}

3. {(2, 4), (3, 4), (4, 4)}

4. {(2, 2), (3, 3), (4, 4), (5, 5)}

Q.

If A = {$x:x^2-5x+6=0$}, B = {2, 4} , C = {4, 5}, then $A\times (B\cap C$) is ___

1. {(2, 4), (3, 4)}

2. {(4, 2), (4, 3)}

3. {(2, 4), (3, 4), (4, 4)}

4. {(2, 2), (3, 3), (4, 4), (5, 5)}

Q. Match the following binary operations on the set of Real numbers with their identities.

1. 3
2. 5
3. $\frac{1}{3}$
4. -2

Q.

Let $\ast$ be a binary operation on the set Q of rational number as follows:
$\left(vi\right)a\ast b=a{b}^2$
Show that none of the operations has an identity.

Q.

Which of the following is not a binary operation defined on the set of positive real numbers?

1. Addition

2. Subtraction

3. Division

4. Multiplication

Q.

If A = {$x:x^2-5x+6=0$}, B = {2, 4} , C = {4, 5}, then $A\times (B\cap C$) is ___

1. {(2, 4), (3, 4)}

2. {(4, 2), (4, 3)}

3. {(2, 4), (3, 4), (4, 4)}

4. {(2, 2), (3, 3), (4, 4), (5, 5)}

Q.

If A = {x: $x^2$ - 5x + 6 = 0}, B = {2, 4} , C = {4, 5}, then

A×(B $\cap$ C) is

1. {(2, 4), (3, 4)}

2. {(4, 2), (4, 3)}

3. {(2, 2), (3, 3), (4, 4), (5, 5)}

4. {(2, 4), (3, 4), (4, 4)}

Q.

A binary operation can be defined only on the set of real numbers

1. True

2. False