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Let U = {1, 2, 3, 4, 5, 6}, A = {2, 3}an...

Let `U = {1, 2, 3, 4, 5, 6}`, `A = {2, 3}`and `B = {3, 4, 5}`Find `A^(prime)`, `B^(prime)`, `A^(prime)nnB^(prime)`, `AuuB`and hence show that `(AuuB)^(prime)=A^(prime)nnB^(prime)`..

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Let's solve the question step by step. ### Given: - Universal Set \( U = \{1, 2, 3, 4, 5, 6\} \) - Set \( A = \{2, 3\} \) - Set \( B = \{3, 4, 5\} \) ### Step 1: Find \( A' \) (Complement of A) ...
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Let U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} and A = {1, 3, 5, 7, 9} . Find A^(prime) .

If U ={1, 2, 3, 4, 5, 6, 7, 8, 9 } , A= {2, 4, 6, 8} and B = { 2, 3, 5, 7} . Verify that(i) (AuuB)^(prime)=A^(prime)nnB^(prime) (ii) (AuuB)^(prime)=A^(prime)uuB^(prime)

Let U = {1, 2, 3, 4, 5, 6, 7, 8, 9} , A = {1, 2, 3, 4} , B = {2, 4, 6, 8 } and C = { 3,4, 5, 6 } . Find (i) A^(prime) (ii) B^(prime) (iii) (AuuC)^(prime) (iv) (AuuB)^(prime) (v) (A′)′ (vi) (B – C)′

If A=[[-1 ,2, 3],[ 5 ,7, 9],[-2 ,1, 1]] and B=[[-4, 1,-5],[ 1, 2,0 ],[1, 3, 1]] , then verify that(i) (A+B)^(prime)=A^(prime)+B^(prime) (ii) (A-B)^(prime)=A^(prime)-B^(prime)

Draw appropriate Venn diagram for each of the following :(i) (AuuB)^(prime) (ii) A^(prime)nnB^(prime) (iii) (AnnB)^(prime) (iv) A^(prime)uuB^(prime)

If f(x)=|cosx| , find f^(prime)(pi/4) and f^(prime)((3pi)/4) .

If f(x)=|cosx-sinx| , find f^(prime)(pi/6) and f^(prime)(pi/3) .

Prove that the line x=a y+b ,\ z=c y+d\ a n d\ x=a^(prime)y+b^(prime),\ z=c^(prime)y+d^(prime) are perpendicular if aa^(prime) + c c^(prime) + 1=0

If A=[[3,4],[ -1,2],[0, 1]] and B=[[-1, 2, 1],[1,2, 3]] , then verify that (A+B)^(prime)=A^(prime)+B^(prime)

Let "U"={1,2,3,4,5,6,7,8,9},A={2,4,6,8}a n dB={2,3,5,7}dot Verify that: (AuuB)^'=A 'nnB ' (ii) (AnnB)^'=A^(prime)uu"Bprime^"dot

NCERT ENGLISH-SETS-SOLVED EXAMPLES
  1. Let A = {a , e , i , o, u}and B = {a , i , u}dotShow that AuuB = A

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  2. Let A = {2, 4, 6, 8}and B = {6, 8, 10 , 12}dotFind Auu Bdot

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  3. Let A, B and C be three sets. If A in Band BsubC. is it true that A...

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  4. Let A = { a , e , i , o, u}and B = { a , b , c , d)dotIs A a subset of...

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  5. let f(x) = sqrtx and g(x) =x be function defined over the set of non n...

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  6. Consider the sets X and Y of Example 14. Find Xnn Y

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  7. Consider the sets A and B of Example 12. Find A nnBdot

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  8. Let X = {Rani, Geeta, Akbar} be the set of students of Class XI who a...

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  9. Let V = {a , e , i , o, u}and B = {a , i , k , u}. Find V - B a n d B ...

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  10. Let A = {1, 2, 3, 4, 5, 6}, B = {2, 4, 6, 8}. Find A - B a n d B - A.

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  11. Show that the set of letters needed to spell “CATARACT” and the set o...

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  12. List all the subsets of the set {1, 0, 1 }dot

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  13. In a survey of 400 students in a school, 100 were listed as taking ap...

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  14. There are 200 individuals with a skin disorder, 120 had been exposed ...

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  15. In a school there are 20 teachers who teach mathematics or physics. O...

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

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  17. Let U = {1, 2, 3, 4, 5, 6}, A = {2, 3}and B = {3, 4, 5}Find A^(prime),...

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  18. If X and Y are two sets such that X uuY has 50 elements, X has 28 ele...

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  19. Let U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}and A = {1, 3, 5, 7, 9}. Find A...

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  20. Let u be universal set of all the students of Class XI of a coeducati...

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