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In three sets, A,B, C, show that (A cap ...

In three sets, A,B, C, show that` (A cap B)'` = `A' cup B'`.

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

For any three sets A,B and C, prove that, A cap (B-C)=(A capB)-(A cap C)

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

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

For any three sets A, B, C . prove that A xx (B cup C)=" (A xx B) cup(A xx C)

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

For any three sets A,B,C prove that following , A cup B = (A-B) cup (B-A) cup (A cap B)

For three sets A,B,C prove that A-(B cup C)=(A-B) cap (A-C)

For any three events A, B and C, prove that. P(A cup B cup C) = P(A) + P(B) + P( C)-P(Acap B) -P(BcapC) - P(CcapA) + P(Acap B cap C).

For any three sets A, B, C. show that Axx(B-C)=(AxxB)-(AxxC)

UNITED BOOK HOUSE-MODEL QUESTION PAPERS-SET 6-EXERCISE
  1. Three Coins are tossed: What is the probability of getting at least on...

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  2. If mean = 10, coefficient of variation = 50%, find the standard deviat...

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  3. In three sets, A,B, C, show that (A cap B)' = A' cup B'.

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  4. If tantheta=(tanalpha+tanbeta)/(1+tanalphatanbeta),then show thatsin2t...

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  5. In any/\ABC, show that ‘c sin (A-B)/2=(a-b)cos(C/2)

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  6. Show that by mathematical induction, 3.5^(2n+1) + 2^(3n+1) is divisibl...

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  7. Ifx+iy=3/(2+costheta+i sintheta)then show that x^2 + y^2 = 4x - 3.

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  8. The sum of an infinite G.P series is 15 and the sum of the squares of ...

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  9. How many different arrangements be' possible in’EXAMINATION where two ...

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  10. A ray of light comming from (1, 2) to the x axis at A and reflecting w...

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  11. The co-ordinate of the two verties of a trainge are (15, 0) and (0 ,10...

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  12. Find the equation of the concentric- cricle of the circle x^2 + y^2 — ...

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  13. The distance between the point on x axis and (3, 2, —4) is m unit.Find...

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  14. Prove that,lim(nrarrprop)(1^3+2^3+3^3+....+n^3)/n^4=1/4

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  15. If y=(xsinx+cosx)/(xcosx-sinx),then show that dy/dx=x^2/(xcosx-sinx)^2

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  16. If n is a such real number that n>3 .then n^2>9 prove it by the method...

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  17. The mean and SD of 20 items were found to be 12.5 and 2.1 resp.After ...

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  18. Out of 15 articles in a box, three of. them are defective. If 5 articl...

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  19. In /\ABC,if (a^2+b^2)sin(A-B)=(a^2-b^2)sin (A+B),show that the triangl...

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  20. State the fundamental theorem of algebra Solve : ix^2 - x + 12i = 0

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