MyQuestionIcon

6

You visited us 6 times! Enjoying our articles? Unlock Full Access!

Definition of Relations

If A =1,2,3,4...

Question

If $A = {1, 2, 3, 4, 5, 6}, B = {3, 6, 9, 12}, C = {6, 12, 18, 20}$ , then $n {(A \times B) \cap (A \times C)} =$

A

12

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

B

24

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

C

48

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

D

36

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

Open in App

Solution

The correct option is A $12$
$(A \times B) \cap (A \times C) = (A) \times (B \cap C)$
$∴ n ((A \times B) \cap (A \times C)) = 12 elements$

Suggest Corrections

thumbs-up

1

Similar questions

A = {1, 2, 3, 4, 5, 6}, B = {3, 6, 9, 12}, C = {6, 12, 18, 20}

n {(A \times B) \cap (A \times C)} =

A = {3, 6, 9, 12}, B = {2, 4, 6, 8, 10}

C = {4, 8},

n ((A \times B) \cup (A \times C))

A = {1, 2, 3}, B = {4, 5, 6, 7, 8},

C = {4, 8, 12, 16, 20},

n [(A \times B) \cup (A \times C)] =

A = {1, 2, 3, 4, 5, 6},

B = {2, 4, 6, 8, 10, 12}

C = {6, 12, 18, 24, 30, 36},

D = {4, 16, 64},

n ((A \times B) \cap (C \times D))

Q. If a = 4, b = 5 and c = 3, then
a x b + a x c =

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Adaptive Q9

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Definition of Relations

Standard XII Mathematics

Join BYJU'S Learning Program

CrossIcon