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If P={theta:sintheta-costheta=sqrt2costh...

If `P={theta:sintheta-costheta=sqrt2costheta}` and
`Q={theta: sintheta+costheta=sqrt2 sintheta}`, then show that
P = Q.

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CHHAYA PUBLICATION-SET THEORY -Short answer type questions
  1. If S={1,2,3,4,8,16,32} be the universal set and A={1,2,8,32}, B={4,8,3...

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  2. If P={a,b,c,d,e,f} and Q={a,c,e,f}," prove that "(P-Q) cup(PcapQ)=P

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  3. If P={theta:sintheta-costheta=sqrt2costheta} and Q={theta: sintheta+...

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  4. Given A={1,2,3,4,5} and Bcup C = {3,4,6}, find (A capB)cup(AcapC)

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  5. Given A={1,2,3,4,5} and Bcup C = {3,4,6}, find (A-B) cap(A-C)

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  6. Define three sets P,Q and R such that PcapQnephi,QcapR ne phi, R capP ...

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  7. Let A,B and C be three sets. If A in B and B subC, is it true that A s...

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  8. Let S={a,b,c,d,e} be the universal set and let A={a,b,d}and B={b,d,e} ...

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  9. Let S={1,2,3,4,5,6} be the universal set. Let A cupB={2,3,4}, find A^c...

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  10. If aNN={ax:x inNN}, describe 3NN cap7 NN where NN is the set of natura...

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  11. Let A,B and C be three sets. Show by means of examples that each of th...

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  12. Let A,B and C be three sets. Show by means of examples that each of th...

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  13. Let A,B and C be three sets. Show by means of examples that each of th...

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  14. For any two sets A and B, prove the following : (B-A) capA=phi

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  15. For any two sets A and B, prove the following : A^c-B^c=B-A

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  16. For any two sets A and B, prove the following : A-B=A-(AcapB)

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  17. For any two sets A and B, prove the following : A-B=AcapB'

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  18. For any two sets A and B, prove the following : B-A^c =AcapB

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  19. For any two sets A and B, prove the following : B sube(A-B)^c

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  20. For any two sets A and B, prove the following : (A cupB)-(AcapB)=(A-...

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