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A relation R={a,b),(a,a),(a,c),(x,,x),(x...

A relation R={a,b),(a,a),(a,c),(x,,x),(x,y),(y,y),(d,d),(d,c)}. Write a relation `E sub R` such that x is equal to y.

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The correct Answer is:
E = {(a, a), (x,x), (y,y), (d,d)}
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PEARSON IIT JEE FOUNDATION-SETS AND RELATIONS-Very short ans.
  1. If P and Q are disjoint then (P capQ)' is

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  2. If P and Q are disjoint, then P-Q= and Q-P=

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  3. If V=(a,e,i,o,u), then find the number of non empty proper subsets of ...

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  4. If a set has 510 non-empty proper subsets, then find the cardinal numb...

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  5. If A is universal set, then ((A')')' is

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  6. If n(P)=2 and n(Q)=5000, then n(PxxQ)=

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  7. If n(P)=2439 and Q=phi then n(PxxQ)=

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  8. If P=(a,b,c,d) and Q=(1,2,3,4,5) then n(PxxQ)=

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  9. Let A=(a,b,c) and B=(p,q). Draw the arrow diagram of A xx B.

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  10. If n(A)=6 and n(B)=3, then find the number of subsets of A xx B.

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  11. Let A=(x,y,z) and B=(p,q), then draw the tree diagram of A xxB and Bxx...

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  12. If n(P)=17,n(Q)=10 and n(PcapQ)=8, then n(P DeltaQ) is

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  13. If (x,2p+q)=(y,p+2q) then p-q=

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  14. If n(A)=40 and n(B)=23, then find n(A-B) and n(B-A) when B sub A.

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  15. Find (PxxQ), if n(Q-P)=10 and n(P-Q)=13 and n(PcapQ)=8.

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  16. Find the number of relations from A to A, where A=(1,2,3,4).

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  17. A relation R={a,b),(a,a),(a,c),(x,,x),(x,y),(y,y),(d,d),(d,c)}. Write ...

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  18. A=(1,2,3,4),B=(3,4) and R={(3,1),(3,2),(4,1),(4,2),(4,3)} is a relatio...

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  19. P=(3,5,6,8,9),Q=(6,10,12,16,17) and R ={(x,y)//(x,y)inPxxQ,2x=y} is a ...

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  20. If n(X cap Y)=9,n(YcapX')=10 and n(XcupY)=25, then find n(X xx Y).

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