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show that `(A-B)capB=phi`

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If AleB show that A-B=phi

If A={x:0lt xlt4} and B={x:3lexlt6} where x is an integer then show that A capB={3}

If A and B be any two subsets of the set S then show that (AxxB) cap (AxxB')=phi

For any set A,B prove that A cap (B-A)=phi

If AcapB'=phi , then show that A=AcapB and hence show that AsubeB .

If AcapB^1=phi ,then show that A=AcapB and hence show that AsubeB .

If phi(x) is the inverse of g(x)and g'(x)= 1/(1+x^3) ,show that phi'(x)=1+[phi(x)]^3

If A subeB," prove that, "A-B=phi.

If phi(x)=2^(mx+1) , show that phi(a). phi(b).phi(c)=4.phi(a+b+c).

sintheta=ksin(theta+phi) .show that tan(theta+phi)=(sinphi)/(cosphi-K)

UNITED BOOK HOUSE-MODEL QUESTION PAPERS-SET 7-EXERCISE
  1. A and B are two independent events.if P(A)=3/5,P(AcapB)=4/9the value o...

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  2. The mean of square of 1st n natural number is

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  3. show that (A-B)capB=phi

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  4. A relation P defined as :P={(x,y):2x+3y=18,x,y in N} ,find the domain ...

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  5. Find the value of :(8 sin ^3 10^@-6sin10^@)

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  6. If sinA/3=sinB/3=sinC/4then show that cos C=1/9

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  7. Value of i^n+i^(n+1)+i^(n+2)+i^(n+3)(where i=sqrt-1)

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  8. If, the number of-diagonals of a- polygon is 44. Find the number of si...

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  9. 'Prove that the co-efficient of x^n of the expansion of (1+x)^(2n) is...

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  10. The sum of P terms of an AP is P^2. Find the common difference.

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  11. Find the co-ordinate of the point which is equidistance from (alpha, 0...

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  12. Calcualte the angle between the straight linesx+sqrt3 y+2=0and y+5=0

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  13. If f'(c) is the -derivative of f(x) at x= c,then show that lim(xrarrc...

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  14. Evaluate :lim(xrarr3)(x^2-9)/(sqrt(x-2)-sqrt(4-x))

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  15. 4 cards are drawn from a well - shuffled deck of 52 cards. What is the...

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

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  17. If f(x)=cos(logx),show that f(x)f(y)-1/2[f(x/y)+f(xy)]=0

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  18. Prove that cosalpha/(sin3alpha)+(cos3alpha)/(sin9alpha)+(cos9alpha)/(s...

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  19. Solve : sectheta-1=(sqrt2-1)tantheta

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  20. By mathematical induction show that 3^n>n^3when nge4. N is an integer.

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