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Standard XII

Mathematics

Cartesian Product

The product o...

Question

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.

cartesian

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Solution

The correct option is A cartesian
The cartesian 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.
Example: $A = {1, 2} B = {2}$
cartesian product, $A \times B = (1, 2), (2, 2)$

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Similar questions

Given

A = {5, 6, 7}

and

B = {3, 4}

. Form all possible ordered pairs and write the total number of ordered pairs formed so that the first component is from set A and second component is from set B.

What is the total number of such pairs?

Q. The _______ of two sets A and B is the set of all those pairs whose first coordinate is an element of A and the second coordinate is an element of B. The set is denoted by

A \times B

Q. For a given pair of sets, identify the pair where the first set is the subset of the second set.

Q. "If

x

is a member of set

S

, then

x

is not a member of set

T

," is logically equivalent to which of the following?
I. If

x

is a member of set

T,

then

x

is not a member of set

S

.
II. If

x

is not a member of set

T,

then

x

is a member of set

S

.
III. If

x

is not a member of set

S,

then

x

is a member of set

T

Given

A = {5, 6, 7}

and

B = {3, 4}

. Form all possible ordered pairs and write the total number of ordered pairs formed. So that the first component is from B and second is from A.

Find the total number of such pairs.

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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.

The correct option is A cartesianThe cartesian 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. Example:A={1,2}B={2}cartesian product, A×B=(1,2),(2,2)

The correct option is A cartesian
The cartesian 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.
Example: $A = {1, 2} B = {2}$
cartesian product, $A \times B = (1, 2), (2, 2)$