wiz-icon
MyQuestionIcon
MyQuestionIcon
5
You visited us 5 times! Enjoying our articles? Unlock Full Access!
Question

Let Z be the set of all integers.
A={(x,y)Z×Z:(x2)2+y24},
B={(x,y)Z×Z:x2+y24} and
C={(x,y)Z×Z:(x2)2+(y22)24}
If the total number of relations from AB to AC is 2p, then the value of p is

A
16
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
49
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
25
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
D
9
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is C 25
The set A and B are represented as :


AB={(0,0),(1,0),(2,0),(1,1),(1,1)}
The set A and set C are represented as:


AC={(1,1),(2,0),(2,1),(2,2),(3,2)}
Total number relations from AB to AC=25×5.
p=25

flag
Suggest Corrections
thumbs-up
1
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Venn Diagrams
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon