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(i) If A={x:x^(2)-2x+1=0}and B={x:x^(3)-...

(i) If `A={x:x^(2)-2x+1=0}and B={x:x^(3)-x^(2)-2x=0}`, then find `A cupB and A cap B`
(ii) If `A={1,2,3,4},B={2,4,6,8} and U={1,2,3,....,9}`, then verify that :
`(A cupB)'=A'capB'`
(iii) If `A ={1,2,3},B={2,3,4}and U={1,2,3,4,5}`, then find `A' cap B'`.

Text Solution

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The correct Answer is:
(i) `A cup B = {-1,0,1,2}, A cap B = phi`
(iii) `{5,6}`
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NAGEEN PRAKASHAN ENGLISH-SETS-Exercise 1D
  1. If A={x:xle 4,x in N},B={x:xle 8, x in N} and C={x:x in N,2 lt x lt 7}...

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  2. If U={11,12,13,14,....,20},A={11,12,13,14} and B={14,16,18,20}, then f...

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  3. If A={1,2,3}and B={3,5,7}, the find A oplusB.

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  4. Find (A-B)cup(B-A) from each of the following : (i) A={x,y,z)," "...

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  5. If A={2,4,6,8,10},B={3,4,5,6}andC={5,6,7,8}, the show that : (i) B o...

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  6. For any set A show that A oplus A = phi.

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  7. If A = {x : x is a natural number} B = {x : x is an even natural num...

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  8. Draw the Venn diagram for each of the following : (i) (A cap B)' (...

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  9. (i) If A={x:x^(2)-2x+1=0}and B={x:x^(3)-x^(2)-2x=0}, then find A cupB ...

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  10. If A and B are two sets, then prove that : (i) (A-B)cupB=AhArrB sube...

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  11. For any three sets A,B and C, prove that, A-(BcapC) = (A-B) cup(A-C)...

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  12. If A,B and C are three sets such that A cup B = C and A cap B = phi, t...

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  13. Is it true that for any sets A and B, P (A) uuP (B) = P (Auu B)? Just...

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  14. For any two sets A and B, prove that : P(A)=P(B)rArrA=B

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  15. For any two sets A and B, prove that : (i) (A-B)cupB=AcupB (ii) (A...

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  16. For any two sets A and B, prove that : (i) A - (A-B)=A capB (ii) ...

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  17. If A, B and C are three sets such that A cup B = A cup C and A cap B =...

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  18. Fill in the blanks : (i) A cupA'=......... (ii) A capA'=.............

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  19. If U={1,2,3....9},A={1,3,5,7,9} and B={2,3,5,7}, then show that (i) ...

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  20. Represent (i) A cap(BcupC) and (ii) (A capB)cupC by venn diagram.

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