Empty Set

Q.

Which of the following is the empty set

1. 

2. 

3. 

4. 

Q.

If $(a+bx{)}^{-2}$ = $\frac{1}{4}$ - 3x + ......, then (a, b) =

1. (2, 12)

2. (-2, 12)

3. (2, -12)

4. None of these

Q.

Find the number of ways in which 7 identical objects can be distributed among 3 persons if each gets atleast one object.

1. 18

2. 15

3. 19

4. 20

Q.

Two finite sets A and B are said to be equivalent, if n(A)=n(B),
Equal sets are always equivalent, But, equivalent sets need not be equal.

Q. Which of the following are examples of the null set (i) Set of odd natural numbers divisible by 2 (ii) Set of even prime numbers (iii) { x : x is a natural numbers, x < 5 and x > 7 } (iv) { y : y is a point common to any two parallel lines}

Q. Suppose a set A={January, February and August} and B={28, 15 and 30}. Write a relation R given by $R=(a,b)ϵA\times B,\text{where a is month and b has number of day}$.
Also find $R^{-1}$. Which ordered pair represent an Independence day?

Q.

Find sets A, B and C such that $A\cap B,B\cap C$ and $A\cap C$ are non-empty sets and $A\cap B\cap C=\Phi .$

Q. If A∪ B=U, then show that A⊂ B

Q.

If sets A and B are defined as

A = $\left\{\right(x,y):y$ = $e^x,x\in R\}$

B = $\left\{\right(x,y):y$ = $x,x\in R\}$, then

1. B $\subset$ A

2. A $\subset$ B

3. $A\cap B$ = $\varphi$

4. $A\cup B-A$

Q.

is {0} considered as a void set?

Q.

Which of the following is an empty set

1. 

2. 

3. 

4. 

Q. What do you mean by empty set

Q. what is into function , many to one function , one -one function