C-02-Q120mediumsingle_mcq

If $A = \{0, 1, 2, 3\}$ and $R = \{(x, y) : x, y \in A, y = x + 1\}$ , then $R =$

a $\{(0, 1), (1, 2), (2, 3), (3, 4)\}$
b $\{(0, 1), (1, 2), (2, 3)\}$
c $\{(1, 0), (2, 1), (3, 2)\}$
d $\{(0, 0), (1, 1), (2, 2)\}$

ব্যাখ্যা

Applying $y=x+1$ with both $x,y\in A=\{0,1,2,3\}$ : $x=0,1,2$ give $y=1,2,3$ , all in $A$ , but $x=3$ gives $y=4\notin A$ and is excluded. So $R=\{(0,1),(1,2),(2,3)\}$ .

এই অধ্যায়ের আরও প্রশ্ন

C-02-Q121For the relation above,
C-02-Q122For the same relation,
C-02-Q123For ,
C-02-Q124For ,
C-02-Q125For with ,
C-02-Q126A relation in which each value of gives exactly one value of is called a—
C-02-Q127If depends on in a function, then is the—
C-02-Q128If , then
C-02-Q129If , then
C-02-Q130If , then

Sets and Functions — সব প্রশ্ন দেখুন (153টি) →

If $A = \{0, 1, 2, 3\}$ and $R = \{(x, y) : x, y \in A, y = x + 1\}$ , then $R =$

\{(0, 1), (1, 2), (2, 3), (3, 4)\}

\{(0, 1), (1, 2), (2, 3)\}

\{(1, 0), (2, 1), (3, 2)\}

\{(0, 0), (1, 1), (2, 2)\}

ব্যাখ্যা

Applying $y=x+1$ with both $x,y\in A=\{0,1,2,3\}$ : $x=0,1,2$ give $y=1,2,3$ , all in $A$ , but $x=3$ gives $y=4\notin A$ and is excluded. So $R=\{(0,1),(1,2),(2,3)\}$ .

If A={0,1,2,3}A = \{0, 1, 2, 3\}A={0,1,2,3} and R={(x,y):x,y∈A,y=x+1}R = \{(x, y) : x, y \in A, y = x + 1\}R={(x,y):x,y∈A,y=x+1}, then R=R =R=

ব্যাখ্যা

এই অধ্যায়ের আরও প্রশ্ন

If A={0,1,2,3}A = \{0, 1, 2, 3\}A={0,1,2,3} and R={(x,y):x,y∈A,y=x+1}R = \{(x, y) : x, y \in A, y = x + 1\}R={(x,y):x,y∈A,y=x+1}, then R=R =R=

ব্যাখ্যা

এই অধ্যায়ের আরও প্রশ্ন

If $A = \{0, 1, 2, 3\}$ and $R = \{(x, y) : x, y \in A, y = x + 1\}$ , then $R =$

If $A = \{0, 1, 2, 3\}$ and $R = \{(x, y) : x, y \in A, y = x + 1\}$ , then $R =$