Let Y-1-2-3-4-5-A-1-2-B-3-4-5- If A- B denotes the cartesian product of sets A and B- then Y-A-Y-B is

Name: JEE- Grade 12- Mathematics- Relations and Functions- Session 01- D02
Uploaded: 2022-07-04T10:36:42+05:30
Description: We know that, (Y×A)∩(Y×B)=(Y)×(A∩B) =Y×ϕ=ϕ ...

We know that, (Y×A)∩(Y×B)=(Y)×(A∩B) =Y×ϕ=ϕ ...

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

Byju's Answer

Standard XII

Mathematics

Cartesian Product

Let Y=1,2,3,4...

Question

Let $Y = {1, 2, 3, 4, 5}, A = {1, 2}, B = {3, 4, 5} .$ If $A \times B$ denotes the cartesian product of sets $A$ and $B,$ then $(Y \times A) \cap (Y \times B)$ is

Y

No worries! We‘ve got your back. Try BYJU‘S free classes today!

A

No worries! We‘ve got your back. Try BYJU‘S free classes today!

B

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Null set

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

Open in App

Solution

The correct option is D Null set
We know that,
$(Y \times A) \cap (Y \times B) = (Y) \times (A \cap B) = Y \times ϕ = ϕ$

Suggest Corrections

Similar questions

Q. Let

A

and

B

be two sets such that

n (A) = 6

and

n (B) = 3.

x

denotes the number of onto functions from

A

B

and

y

denotes the number of one-one functions from

B

A,

then the value of

x - y

is equal to

Q. Cartesian product of sets

A

and

B

is denoted by _______.

Q. Let set

R = {P : B \subseteq P \subseteq A} .

A = {1, 2, 3, 4, 5}

and

B = {1, 2},

then the number of elements in set

R

Q. Let

\to a, \to b, \to c

be unit vectors such that

\to a

is perpendicular to the plane of

\to b

and

\to c

.If the angle between

\to b

and

\to c

\frac{π}{3}

, then

∣ ∣ ∣ \to a \times \to b - \to a \times \to c ∣ ∣ ∣ =

Q. The smallest set

Y

such that

Y \cup {1, 2} = {1, 2, 3, 5, 9}

{a, b, 9}

. Find

| b - a |

Join BYJU'S Learning Program

Explore more

Cartesian Product

Standard XII Mathematics

Join BYJU'S Learning Program

Let Y={1,2,3,4,5},A={1,2},B={3,4,5}. If A×B denotes the cartesian product of sets A and B, then (Y×A)∩(Y×B) is

The correct option is D Null setWe know that, (Y×A)∩(Y×B)=(Y)×(A∩B)=Y×ϕ=ϕ

Let $Y = {1, 2, 3, 4, 5}, A = {1, 2}, B = {3, 4, 5} .$ If $A \times B$ denotes the cartesian product of sets $A$ and $B,$ then $(Y \times A) \cap (Y \times B)$ is

The correct option is D Null set
We know that,
$(Y \times A) \cap (Y \times B) = (Y) \times (A \cap B) = Y \times ϕ = ϕ$