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For any two sets, show that (A cap B) cu...

For any two sets, show that `(A cap B) cup (A - B)= A`.

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For any two sets A and B, prove that P(A cap B) = P(A) capP(B) where P(A) is the power set of A.

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If any two sets A and B, (A cup B)' cup(A'cup B) =

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If set A and set B are the sub-set of X. show that X -(A cap B) = (X-A)cup(X - B) .

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UNITED BOOK HOUSE-NAVA NALANDA-EXERCISE
  1. If A and B are any two events having P(AcupB)=1//2and P(barA)=2/3,then...

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  2. Standard deviation of first 10 natural numbers is

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  3. For any two sets, show that (A cap B) cup (A - B)= A.

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  4. Let X={0,-1,1,2,-2}and Y={0,1,2,3,4,6}f:XrarrYbe defined as f(x)=x^2+x...

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  5. Prove that sinx+siny+sinz-sin(x+y+z)=4sin((x+y)/2)sin((y+z)/2)sin((z+x...

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  6. Prove that sin (pi/14)sin((3pi)/14)sin((5pi)/14)=1/8

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  7. Solve :|z|=z+bar(1-2i)

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  8. In how many of the distinct permutaions of the letters in MISSISIPPI d...

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  9. Solve :x^2-(3sqrt2-2i)x-6sqrt2i=0

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  10. For any complex number z,prove that |Re(z)|+|Im(z)|le\sqrt 2 |z|

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  11. Find the direction in which a straight line must be drawn through the ...

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  12. Find the area of the triangle formed by the lines joingn the vertex of...

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  13. Find the domain of definition of the function f(x)=1/(ln(1-x))+sqrt(x+...

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  14. Prove that (AcupB)^c=A^c capB^c[without venn-diagram]

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  15. Four digit number are formed by using the digits 1,2,3,4 and 5 wihout ...

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  16. Find the mean deviation about the median for the following data:

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  17. For any three sets A, B, C, Prove that A cap(BcupC)=(AcapB)cup (A cap ...

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  18. A+B+C=pi,prove that sin^2(A/2)+sin^2(B/2)+sin^2(C/2)=1-2sin(A/2)sin(B/...

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  19. Solve :tanx+tan(x+pi/3)+tan(x+(2pi)/3)=3

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  20. Using the principle of mathematical induction prove that 3^(2n+1)+2^(n...

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