Tag: cartesian product of sets

Question 1

Multiple choice mathematics and statistics relations cartesian product of sets cartesian product of two sets cartesian product

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

$219$
$256$
$275$
$510$

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Answer

$A \times B = \{(1,3),(1,4),(2,3),(2,4)\}$

Question 2

Multiple choice mathematics and statistics relations cartesian product of sets cartesian product of two sets cartesian product

If $A = {1, 2 }$ and $B = {3, 4}$ then find $A \times B$

$A \times B = \{(1,3),(1,2),(2,3),(2,4)\}$
$A \times B = \{(1,3),(1,4),(2,1),(2,4)\}$
$A \times B = \{(1,3),(1,4),(2,3),(2,1)\}$

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Question 3

Multiple choice mathematics and statistics relations cartesian product of sets cartesian product of two sets cartesian product

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

$(0, 0)$
$(2, 2)$
$(0, 2)$
$(2, 0)$

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Question 4

Multiple choice mathematics and statistics relations cartesian product of sets cartesian product of two sets cartesian product

What is general representation of ordered pair for two variables $a$ and $b$?

$a, b$
$(a, b)$
$(a), b$
$a, (b)$

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Question 5

Multiple choice mathematics and statistics relations cartesian product of sets cartesian product of two sets cartesian product

If $a$ and $b$ are two variables and $(a, b)=(b, a)$, then

$a = 0$
$b = 0$
$a = b$
$\displaystyle a\pm b$

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Question 6

Multiple choice mathematics and statistics relations cartesian product of sets cartesian product of two sets cartesian product

If $x$ and $y$ co-ordinate of a point is $(3, 10)$, then $y$ co-ordinate is

$0$
$3$
$10$
None of the above

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Question 7

Multiple choice mathematics and statistics relations cartesian product of sets cartesian product of two sets cartesian product

If $x$ and $y$ coordinate of a point is $(3, 10)$, then the $x$ co-ordinate is

$0$
$3$
$10$
None of the above

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Question 8

Multiple choice mathematics and statistics relations cartesian product of sets cartesian product of two sets cartesian product

If ordered pair $(a, b)$ is given as $(-2, 0)$, then $a =$

$-2$
$0$
$2$
None of the above

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Question 9

Multiple choice mathematics and statistics relations cartesian product of sets cartesian product of two sets cartesian product

If $y$ is second entry and $x$ is first entry then its ordered pair will be ............

$(x, y)$
$(y, y)$
$(y, x)$
None of the above

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Question 10

Multiple choice mathematics and statistics relations cartesian product of sets cartesian product of two sets cartesian product

Identify the first component of an ordered pair $(2, 1)$.

$1$
$2$
$-1$
$0$

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