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Let A={X,A,M,A,X,Y}, B={M,A,X,I,U,M} the...

Let A={X,A,M,A,X,Y}, B={M,A,X,I,U,M} then find `A cap B`?

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`A cap B={X,A,M}`
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(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' .

(i) Let A={1,2,3,4,5} and B={1,3,7,9,12} then A cap B={1,3} (ii) Let A={red, blue, green}, B={orange, yellow, red} then A cap B={red} (iii) Let X={a,e,i,o,u} and Y={a,e,i,o,u,k) then X cap Y={a,e,i,o,u}

Let A = (a,e,i,o,u}, B={a,d,e,o,v} and C{ e,o,t, m} . Using Venn diagrams, verify the following : (i) A cup (Bcap C) =(A cup B) cap (A cup C) (ii) A cap (Bcup C) =(A cap B) cup (A capC) .

In some question of sets, we have to make the use of graphs For example A={(x,y):y=e^(x), x in R} B={{x,y}: y=-x. x in R} Find n(A cap B) It is clear that y=e^(x) and y=-x intersect at one pont. Hence n(A cap B)=1 A={(x,y):x^(2)+y^(2) le 2, x ,y in R} B={{x,y): y gex^(2),x,y in R} Then domain of A cap B is

Let A = {x:x =6n, n in N} and B={x:x =9n,n in N } , find A cap B .

Let A = Set of all rational numbers and B={x:x^(2)-4x+2=0} . Then find A-B,B -A and A cap B.

In some question of sets, we have to make the use of graphs For example A={(x,y):y=e^(x), x in R} B={{x,y}: y=-x. x in R} Find n(A cap B) It is clear that y=e^(x) and y=-x intersect at one pont. Hence n(A cap B)=1 A={(x,y):y = sin pi x,x in R} B={(x,y):y=|In|x"||",x in R-{0}} Then, n(A cap B)

In some question of sets, we have to make the use of graphs For example A={(x,y):y=e^(x), x in R} B={{x,y}: y=-x. x in R} Find n(A cap B) It is clear that y=e^(x) and y=-x intersect at one pont. Hence n(A cap B)=1 A:{(x,y):y=sqrt(4-x^(2)), x in [-2,2]} B={(x,y):y=|x|, x in R} Then n(A cap B)

If A= {x: x in N , x is a factor of 6} and B = { x in N : x is a factor of 8} then Find (i) A cap B , (ii) A cap B , (iii) A-B, (iv) B-A .

Find whether the following statements are true or false. If the statement is false, then write its correct statement: (i) If P={m,n} and Q={n,m},then PxxQ={(m,n),(n,m)} . (ii) If A and B are non-empty sets, then AxxB is a non-empty set of the ordered pairs (x,y) such that x in A and y in B .

AAKASH INSTITUTE-SETS -Try yourself
  1. If X={x:x in N and (x-3)(x-2)=0} Y={x:x in N and x lt 5} "then find X...

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  2. Let X={1,4,9,16,25,36} and Y={1,2,4,8,16,32} then find X cap Y?

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  3. Let A={X,A,M,A,X,Y}, B={M,A,X,I,U,M} then find A cap B?

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  4. If A={x:x is a multiple of 3, x lt 12} and B={x: x in N, x^(2)-9x+18=0...

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  5. If A={x: x in N and x^(2)+x-2=0} and B={1} then find B-A.

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  6. Write down the complement of given set A (i) A={x,x in N}, set of wh...

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  7. Write down the complement of given set A (i) N is universal set, A={...

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  8. If universal set U={1,2,3,4,5,6,7,8,9}, A={1,5,6},B={4,8,9},C={3,2,6} ...

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  9. If universal set, U={x:x is a letter in the phrase The MAD DONKEY} A...

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  10. Draw the venn diagram to represent (i) A cap (B-A)' & (ii) A cup B(B...

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  11. If U={1,2,3……10}, A={1,5,6}, B={3,4,5}, C={6,5,3,10}, then represent t...

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  12. Prove A cup (B cap C)=(A cup B) cap(A cup C)

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  13. Prove (A cap B)'=(A' cup B')

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  14. If X and Y are two sets such that X cup Y has 50 elements, X has 24 el...

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  15. If A and B are two sets such that A cup B has 64 elements, A has 40 el...

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  16. If A and B are two sets such that n(A)=30, n(B)=26 and n(A cup B)=50,...

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  17. If A and B are two sets such that n(A)=24, n(B)=13 and n(A cup B) =32 ...

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  18. If n(U)=60, n(A)=26 and n(B)=36 where U is the universal set then find...

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  19. If n(U)=1200, n(A)=900 and n(B)=700 where U is the universal set then ...

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  20. In a class of 30 students, 13 like to eat cake and 26 like to eat ice ...

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