CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

If X={4n3n1;nR} and Y={9(n1);nN}, then XY=

A
X
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
Y
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C
ϕ
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
{0}
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is B Y
Let us restrict the domain of X to natural numbers,
4n3n1(1+3)n3n11+3n+nC232+...+3n3n19k
Where k is some natural number,
So,the elements of X are multiples of 9,
The elements of the set Y are also multiples of 9,
But if we extend the domain of X to the set of real numbers there would be other elements which are not present in Y as the elements of Y are only natural numbers where as the elements of X can also be rational and irrational,
So the elements of Y are contained in X for all natural numbers,
XY=Y.

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Definition of Sets
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon