Math 9th Chap 3 : Topic 5 - Maryam Publications

Math Chapter 3 : Topic 5

Set Applications

1 / 24

The Cartesian product of sets $A$ and $B$ is written as:

A) $A \div B$

B) $A \times B$

C) $A + B$

D) $A - B$

2 / 24

If $A = \{ 1,\ 2\}$ and $B = \{ a,\ b\}$, then $A \times B$ contains:

A) $\{(1,\ a),\ (1,\ b),\ (2,\ a),\ (2,\ b)\}$

B) $\{ 1,\ 2,\ a,\ b\}$

C) $\{(a,\ 1),\ (b,\ 2)\}$

D) $\{(1,\ a),\ (2,\ b)\}$

3 / 24

In ordered pair $(x,\ y)$, the first element represents:

A) Image

B) Range

C) Co - domain

D) Domain

4 / 24

The set of all first elements in a relation is called:

A) Domain

B) Range

C) Image

D) Co - domain

5 / 24

The set of all second elements in a relation is called:

A) Domain

B) Range

C) Relation

D) Product

6 / 24

If $R = \{(1,2)$, $(3,4)\}$, then domain is:

A) $\{ 2,\ 4\}$

B) $\varnothing$

C) $\{ 1,\ 2,\ 3,\ 4\}$

D) $\{ 1,\ 3\}$

7 / 24

If $R = \{(a,b),\ (c,d)\}$, then range is:

A) $\{ b,\ d\}$

B) $\{ a,\ b,\ c,\ d\}$

C) $\varnothing$

D) $\{ a,\ c\}$

8 / 24

A binary relation is:

A) A geometric figure

B) A graph only

C) A single number

D) A set of ordered pairs

9 / 24

If $A = \{ 1,2\}$ and $B = \{ x\}$, then $A \times B$ has:

A) $4$ elements

B) $3$ elements

C) $2$ elements

D) $1$ element

10 / 24

Which of the following is a relation?

A) $\{(1,2),\ (2,3)\}$

B) $\{ 1,2,3\}$

C) $1,2,3$

D) $(1 + 2 = 3)$

11 / 24

In Cartesian product $A \times B$, number of elements is:

A) $A \div B$

B) $A - B$

C) $A + B$

D) $A \times B$

12 / 24

If $A$ has $3$ elements and $B$ has $2$ elements, $A \times B$ has:

A) $5$

B) $2$

C) $3$

D) $6$

13 / 24

Which represents correct ordered pair concept?

A) First element is input

B) $(y,\ x)$ always

C) Both elements are outputs

D) Order does not matter

14 / 24

A relation from $A$ to $B$ is a subset of:

A) $A + B$

B) $A - B$

C) $A \times B$

D) $B \times B$

15 / 24

If $R = \{(2,3)$, $(4,5)\}$, domain is:

A) $\varnothing$

B) $\{ 2,\ 4\}$

C) $\{ 3,\ 5\}$

D) $\{ 2,3,4,5\}$

16 / 24

Which of the following is $NOT$ a binary relation?

A) $\{ 1,2,3\}$

B) $\{(a,b)\}$

C) $\{(1,2),\ (2,3)\}$

D) $\{(x,y)\}$

17 / 24

Range of a relation is:

A) Input values

B) Mixed values

C) Empty always

D) Output values

18 / 24

Main purpose of binary relations is to:

A) Store single values

B) Show connection between two sets

C) Draw circles only

D) Replace numbers

19 / 24

Which best describes domain in real-life relation?

A) Random numbers

B) Input values

C) Output results

D) Graph points only

20 / 24

If relation $R = \{(x,y)\}$, then $y$ is:

A) Cartesian product

B) Range

C) Domain

D) Input

21 / 24

Which is correct about binary relation?

A) It contains only sets

B) It contains only graphs

C) It contains single numbers

D) It contains pairs of elements

22 / 24

If $A = \{ 1,2,3\}$, number of relations possible with $B = \{ x\}$ is:

A) $3$

B) $6$

C) $1$

D) $2$

23 / 24

Which is true about Cartesian product?

A) Order does not matter

B) It is always empty

C) $(a,b) \neq (b,a)$

D) It contains only numbers

24 / 24

If $R = \{(1,1)$, $(2,2)\}$, domain equals:

A) $\varnothing$

B) $\{ 1,2,1,2\}$

C) Range

D) $\{ 1,2\}$

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