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Prove that `Auu (Ann B)= A`

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Prove that (AuuB)-(AnnB) is equal to (A-B)uu(B-A) .

For any two sets, prove that: \ Ann(AuuB)=A

Using properties of sets, show that(i) A uu( A nnB) = A (ii) A nn(Auu B) =A .

Prove that AuuB=AnnB if and only if A=B

If A and B are any two sets, then prove that (A nn B) uu (A-B)=A

Prove that A-B=AnnB^(c ) .

If A = A uu B , prove that B = A nn B .

For any two sets Aa n dB , prove that (AuuB)-B=A-B (ii) A=(AnnB)=A-B (iii) A-(A-B)=AnnB (iv) Auu(B-A)=AuuB (A-B)uu(AnnB)=A

If A and B are two sets, then prove that : A cupB=A capBhArrA=B .

Prove that : (cot A + tan B)/ (cot B + tan A) = cot A tan B

RD SHARMA ENGLISH-SETS-All Questions
  1. Show that A nn B=A nn C need not imply B=C

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  2. Show that if A subB , then C" "-" "BsubC" "-" "A .

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  3. Prove that Auu (Ann B)= A

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  4. For any two sets, prove that:\ Ann(AuuB)=A

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  5. Find sets A, B and C such that A nnB , B nnC and A nnC are nonempty ...

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  6. For any two sets A\ a n d\ B , prove that AnnB=varphi=>AsubeB^(prime)d...

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  7. For any two sets of A and B, prove that: A^(prime)uuB=U=>AsubB

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  8. For any two sets of A and B, prove that: B^(prime)uuA '=>AsubB

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  9. Two identical blocks A and B, each of mass m=3kg, are connected with t...

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  10. If A and B are any two sets, then prove that (A nn B) uu (A-B)=A

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  11. Show that for any sets A and B ; A = (AnnB)uu(A-B) and Auu(B-A) = (...

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  12. For any two sets A and B prove the following: Ann(A^(prime)uuB)=AnnB

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  13. For any two sets A and B prove the following: A-(A-B)=AnnB

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  14. For any two sets A and B prove the following: Ann(A^(\ )uuB)'=varphi

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  15. For any two sets A and B prove the following: A-B=ADelta(AnnB)dot

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  16. In a class of 35 students, 24 like to play cricket and 16 like to p...

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  17. In a group of 50 people, 35 speak Hindi, 25 speak both English and ...

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  18. Out of 500 car owners investigated, 400 owned car A and 200 owned c...

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  19. A market research group conducted a survey of 2000 consumers and re...

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  20. A survey shows that 63% of the Americans like cheese 4 whereas 76% lik...

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