wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

If U={a,b,c,d,e,f,g,h},
P={a,b,c,f},Q={d,g,f,h},
then which of the following are correct?

A
(PQ)={e}
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B
(PQ)={d,e,f,g,h}
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C
(PQ)=PQ
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
D
Pϕ={a,b,c,f}
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
Open in App
Solution

The correct option is D Pϕ={a,b,c,f}

From the above venn diagrams we can see that (PQ)={e}.

By drawing the venn diagrams we can see that (PQ)={d,e,f,g,h}.

(PQ)=PQ is the DeMorgan's law and if needed can be verified using venn diagram.

ϕ=U, so Pϕ=PU=P={a,b,c,f}.

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