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For any two sets A and B, if `A cupB` = `A cap B`, then show that A = B.

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UNITED BOOK HOUSE-MODEL QUESTION PAPERS-SET 12-EXERCISE
  1. Two dice are thrown at a time.The probability that the sum of two numb...

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  2. The median of 1st 2013 natural number is

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  3. For any two sets A and B, if A cupB = A cap B, then show that A = B.

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  4. A = {1, 2, 3, 4, 5}, B = {1, 3, 4} and the relation R from set A to se...

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  5. Show that tan67^@-tan22^@-tan67^@tan22^@=1

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  6. In /\ABC, if angleC = 90^@,. then find the value of tan A + tan B.

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  7. If ^nPr=120 ^nC(n-r) , find the value of r.

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  8. x.and y are- real and if x + iy.=5/(-3+4i),find the value of x and y.

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  9. Find the constant term of the expansion of (a^3-1/a^2)^15

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  10. If the P th term of an AP is (3P - 5), then find the common difference...

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  11. Find the equation of a straight fine passes through the middle ofthe s...

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  12. Find the ratio in which the plane xy divides the join of A(2, 3. 5) an...

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  13. If y=xe^x,show that xdy/dx=(1+x)y.

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  14. f(x)=x^2+ax,when 0lexle1 and f(x)=3-bx^2,when 1lexle2 if limxrarr1f(x...

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  15. A unbiased coin tossed three times. Find the probability of getting 1 ...

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  16. If the variance of a distribution is 4 coefficient of variation is 5%,...

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

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  18. If tan^2 alpha = 1 + 2 tan^2 beta, show that cos2 beta = 1 + 2cos 2alp...

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  19. Solve :sin x 4 cos x = sin 2x 4 cos 2x.

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  20. Prove by mathematical induction, 1+1/4+1/9+...+1/n^2<2-1/nwhen n ge 2,...

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