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If mRn=[(m,n):m-n is divisible by 5}is t...

If mRn=[(m,n):m-n is divisible by 5}is the relation with N set,find `(3Rn)cap(5Rn)`

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UNITED BOOK HOUSE-MODEL QUESTION PAPERS-SET 2-EXERCISE
  1. The A.M of 1,2,3,4,…..100 is

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  2. If P={x:x=4n+1,nle5and n in N}and Q ={3n:nle8and n in N},find the set ...

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  3. If mRn=[(m,n):m-n is divisible by 5}is the relation with N set,find (3...

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  4. Find the maximum value of 1/2sin^2theta+1/3cos^2theta

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  5. Show that tan8alpha-tan5alpha-tan3alpha=tan8alphatan5alphatan3alpha

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  6. Show that (x+yw+zw^2)^2+(xw^2+y+zw)^2+(xw+yw^2+z)^2=0,where w is an cu...

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  7. What is the permutations of the letters in the word CAMBRIDGE when M,R...

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  8. Which term of the expansion of (2x^2-x^-1)^12is the term independent o...

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  9. Find the least value of a when a+b=4 and 2a+3ble25

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  10. Find the perpendicular distance from (2,3,4) to x- axis and z- axis.

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  11. Convert the straight line sqrt3x+y+14=0 into normal form.

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  12. Evaluate :lim(xrarra)(root(3)(x)-root(3)(a))/(x-a)

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  13. IS the derivative of the function f(x)=|x| at x=0.possible?

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  14. In a frequancy distribution,if the mean = 35 & median = 33, then find ...

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  15. A box contains 6 white balls and 4 black balls, A ball is drawn at ran...

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  16. In three sets P,Q,R if Pcup R=Pcup Qand Pcap Q=PcapR,then show that Q=...

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  17. Show that,tan7 (1^@/2)=sqrt6-sqrt3+sqrt2-2

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  18. Prove by mathematical induction, n.1+(n-1).2+(n-2).3+…+2.(n-1)+1.n = ...

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  19. If a+ib=sqrt((x+iy)/(p+iq)),show that (a^2+b^2)^2=(x^2+y^2)/(p^2+q^2)

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  20. If the p^(th), q^(th) and r^(th) terms of a G.P. are x, y, z respec...

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