You visited us 1 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard XII

Mathematics

Number of Elements in a Cartesian Product

For a set A...

Question

For a set $A, A \times A$ contains $16$ elements and two of its elements are $(1, 3)$ and $(0, 2)$ . Find the elements of $A$ .

Open in App

Solution

Since $A \times A$ contains $16$ elements
$⟹ A$ contains $4$ elements
and two of its elements are $(1, 3), (0, 2)$
and the $4$ elements are $0, 1, 2, 3$

Suggest Corrections

Similar questions

A and B are two sets given in such a way that $(A \times B)$ contains 6 elements. If three elements of $(A \times B)$ be (1, 3), (2, 5) and (3, 3), find its remaining elements.

Q. If

A

and

B

are two sets containing

13

and

16

elements respectively, then find the minimum and maximum number of elements in

A \cup B

Q. If a set contains

m

elements and

B

contains

n

elements, then find the number of elements in

A \times B

Q. A set

A

contains

3

elements and set

B

contains

4

elements. The minimum number of elements in

A \cap B

Q. If A and B are two sets containing 3 and 6 elements respectively, what can be the minimum number of elements in

A \cup B

? Also find minimum number of elements in

A \cap B

Join BYJU'S Learning Program

For a set A,A×A contains 16 elements and two of its elements are (1,3) and (0,2). Find the elements of A.

Since A×A contains 16 elements⟹A contains 4 elementsand two of its elements are(1,3),(0,2)and the 4 elements are 0,1,2,3

For a set $A, A \times A$ contains $16$ elements and two of its elements are $(1, 3)$ and $(0, 2)$ . Find the elements of $A$ .

Since $A \times A$ contains $16$ elements
$⟹ A$ contains $4$ elements
and two of its elements are $(1, 3), (0, 2)$
and the $4$ elements are $0, 1, 2, 3$