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If `AleB`show that `A-B=phi`

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show that (A-B)capB=phi

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

Use logical method to prove the following : For any two sets A and B prove that A - B = phi iff A subseteq B

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

sintheta+sinphi=a,costheta+cosphi=b show that tan((theta-phi)/2)=+-sqrt((4-a^2-b^2)/(a^2+b^2))

A-B = phi iff

If phi=cot^(-1)sqrt(cos2theta)-tan^(-1)sqrt(cos2theta) , then show that, sin phi=tan^(2)theta .

UNITED BOOK HOUSE-JADAVPUR VIDYAPITH-EXERCISE
  1. A={a,b,c}and B={1,2,3,4} .Find the total number of relation from A to ...

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  2. If AleBshow that A-B=phi

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  3. A={0,1} find AxxAxxA

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  4. 2f(x)+3f(-x)=15-4x then [f(1)+f(-1)]=?

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  5. f(x)=a+b sinx,has max value of 7 an min value 1.Find f(pi//6)=?

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  6. tan25^@=a prove that (tan155^@-tan115^@)/(1+tan155^@.tan115^@)=(1-a^2)...

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  7. Prove that tan70^(@)=2tan50^(@)+tan20^(@).

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  8. a=(1+i)/sqrt2then a^6+a^4+a^2+1=?

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  9. x(x-3)=4,has two roots alphaand betathen alpha^2+beta^2=?

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  10. Find the area of the triangle formed by the straight lin x cosalpha+ys...

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  11. Straight line px-qy=r intercept the coordinate axis at the point (a,0)...

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  12. A relation R defined on the set of natural no as follows R={(x,y),x+5y...

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  13. cos(beta-gamma)+cos(gamma-alpha)+cos(alpha-beta)=-3/2 show that cosalp...

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  14. sintheta+sinphi=a,costheta+cosphi=bshow that tan((theta-phi)/2)=+-sqrt...

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  15. If cos theta=(acosphi+b)/(a+bcosphi)(theta,phiacute angle)show that ta...

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  16. In a triangle ABC if a cos^2(C/2)+c cos^2(A/2)=((3b)/2)show that sides...

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  17. If w be a imaginary cube root of uniyt and a+b+c=0 then show that (a+b...

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  18. An equilateral triangle in the Argan plane has vertix as z1,z2and z3wh...

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  19. If the equation x^2+px+qr=0and x^2+qx+pr=0(p!=q,r!=0)has same root the...

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  20. Prove that ^nPr=^(n-1)Pr+r^(n-1)P(r-1)(notation used are in their usua...

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