Cartesian product of sets - class-XI
Description: cartesian product of sets | |
Number of Questions: 74 | |
Created by: | |
Tags: maths mathematics and statistics sets and relations sets, relations and functions relations and functions relations sets |
If $A$ and $B$ are two sets containing four and two elements, respectively. Then the number of subsets of the set $A\times B$ each having at least three elements is
If $A = {1, 2 }$ and $B = {3, 4}$ then find $A \times B$
If $x$ co-ordinate of a point is $2$ and $y$ co-ordinate is $0$, then ordered pair for its coordinate on $XY$ plane is
What is general representation of ordered pair for two variables $a$ and $b$?
If $a$ and $b$ are two variables and $(a, b)=(b, a)$, then
If $x$ and $y$ co-ordinate of a point is $(3, 10)$, then $y$ co-ordinate is
If $x$ and $y$ coordinate of a point is $(3, 10)$, then the $x$ co-ordinate is
If ordered pair $(a, b)$ is given as $(-2, 0)$, then $a =$
If $y$ is second entry and $x$ is first entry then its ordered pair will be ............
Identify the first component of an ordered pair $(2, 1)$.
Cartesian product of sets $A$ and $B$ is denoted by _______.
Identify the first component of an ordered pair $(0, -1) $.
Find the second component of an ordered pair $(2, -3)$
The ______ product of two sets is the set of all possible ordered pairs whose first component is a member of the first set and whose second component is a member of the second set.
If $A = {a, b}, B={1, 2, 3}$, find B $\times$ A
If A= {0, 1} and B ={1, 0}, then what is A x B equal to ?
If $A = {2, 3, 5}$ and $B = {5, 7}$, find the set with highest number of elements:
For two sets $A$ and $B$, $A\times B=B\times A$.
Let A and B be sets containing 2 and 4 elements respecetively. The number of subsets $A \times B$ having 3 or more elements is
If $A$ and $B$ are independent event such that $P(A \cap B')=\dfrac {3}{25}$ and $P(A' \cap B)=\dfrac {8}{25}$, then $P(A)=$
The number of ordered pairs (x, y) of natural numbers satisfy the equation $x^2+y^2+2xy-2018x-2018y-2019^o=0$ is?
The number of ordered triplet $\left(x,y,z\right),x,y,z$ are positive integers satisfying $xyz=105$
If $\int\dfrac{2\cos x-\sin x+\lambda}{\cos x-\sin x-2}dx=A In\left|\cos x+\sin x-2\right|+Bx+C$. Then the ordered triplet $\left(A,B,\lambda\right)$, is
If $A={1, 2, 3}$ and $B={3, 8}$, then $(A\cup B)\times (A\cap B)$ is
Let $ A= { 1,2,3,.......50} $ and $B={2,4,6.......100}$ .The number of elements $\left ( x, y \right )\in A\times B$ such that $x+y=50$
If the cardinality of a set $A$ is $4$ and that of a set $B$ is $3$, then what is the cardinality of the set $A\Delta B$.
If $(x, y) = (3, 5)$ ; then values of $x$ and $y $ are
If $n(A) = 4$ and $n(B) = 5$, then $n(A \times B) = $
If $A=\left{ 2,4,5 \right} , B=\left{ 7,8,9 \right} $ then $n(A\times B)$ is equal to-
If $A = \left{2,3\right}$ and $B = \left{1,2\right}$, then $A \times B$ is equal to
If $\displaystyle A=\left{ 2,4,5 \right} ,B=\left{ 7,8,9 \right} $ then $\displaystyle n\left( A \times B \right) $ is equal to
If $\displaystyle n\left ( A\times B \right )=36$ then n(A) can possibly be____
If $(3p+q,p-q)=(p-q,3p+q)$, then:
If $\displaystyle n\left ( P\times Q \right )=0$ then n(P) can possibly be
If $A=\left {1, 2,3\right }$ and $B=\left {3,8\right }$, then $(A\cup B)\times (A\cap B)$ is equal to
What is the Cartesian product of $A = \left {1, 2\right }$ and $B = \left {a, b\right }$?
Let a relation $R$ be defined by $R=\left {(4,5), (1,4), (4,6), (7,6), (3,7)\right }$. The relation $R^{-1}\circ R$ is given by
Given $(a - 2, b + 3) = (6, 8)$, are equal ordered pair. Find the value of $a$ and $b$.
What is the second component of an ordered pair $(3, -0.2)$?
What is the first component of an ordered pair $(1, -1)$?
Ordered pairs $(x, y)$ and $(-1, -1)$ are equal if $y = -1$ and $x =$ _____
Ordered pairs $(x, y)$ and $(3, 6)$ are equal if $x = 3$ and $y = ?$
If $A \times B = {(3, a), (3, -1), (3, 0), (5, a), (5, -1), (5, 0)}$, find $A$.
$(x, y)$ and $(p, q)$ are two ordered pairs. Find the values of $x$ and $p$, if $(3x - 1, 9) = (11, p + 2)$
$(x, y)$ and $(p, q)$ are two ordered pairs. Find the values of $p$ and $y$, if $(4y + 5, 3p - 1) = (25, p + 1)$
If $A = {2, 3}$ and $B = {1, 2}$, find $A \times B$.
If $A \times B =$ ${(2, 4), (2, a), (2, 5), (1, 4), (1, a), (1, 5)}$, find $B$.
If A and B are two non-empty sets having n elements in common, then what is the number of common elements in the sets $A\times B$ and $B\times A$?
Let $A=\left{ x\in W,the\quad set\quad of\quad whole\quad numbers\quad and\quad x<3 \right} $
Let $A = \left{ a,b,c,d \right}$ and $ B=\left{ x,y,z \right}$. What is the number of elements in $ A\times B$?
If $A = \left{ 1,2 \right}$, $B = \left{ 2,3 \right}$ and $ C = \left{ 3,4 \right}$, then what is the cardinality of $ \left( A\times B \right) \cap \left( A\times C \right) $
A and B are two sets having $3$ elements in common. If $n(A)=5, n(B)=4$, then what is $n(A\times B)$ equal to?
If two sets $A$ and $B$ are having $39$ elements in common, then the number of elements common to each of the sets $A\times B$ and $B\times A$ are
If ${ y }^{ 2 }={ x }^{ 2 }-x+1$ and $\quad { I } _{ n }=\int { \cfrac { { x }^{ n } }{ y } } dx$ and $A{ I } _{ 3 }+B{ I } _{ 2 }+C{ I } _{ 1 }={ x }^{ 2 }y$ then ordered triplet $A,B,C$ is
Given $A={b,c,d}$ and $B={x,y}$ : find element of $A\times B$ .
$M={0,1,2}$ and $N={1,2,3}$: find (N-M) $\times$(N $\cap$M)
Given M={0,1,2} and N={1,2,3}, then (M $\cup$ N) $\times$(M-N) contains
If $A={b,c,d}$ and $B={x,y}$. Find which of the following are elements of $A \times A$.
$n(A)=4 $ and $n(B) =5$: $n(A \times B)=$
n(A)=m and n(B)=n ; then
n (A $\times$ B) =
$\left (A \cap B \right ) \times C$
$\left (A \cap B \right ) \times C$
Which one of the statement is false ?
A $\times$ (B - C) =
If A $=$ {1, 2}, B $=$ {3, 4}, then A$\times$B $=$
If ,$(x-1, y+2)= (7, 5)$ then values of $x$ and $y$ are
Ordered pairs (a, 3) and (5, x) are equal ,the values of $a$ and $x$ are
Determine all ordered pairs that satisfy $(x - y)^{2} + x^{2} = 25$, where $x$ and $y$ are integers and $x \geq 0$. Find the number of different values of $y$ that occur