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Let R be the relation defined on the set...

Let R be the relation defined on the set N of natural numbers as R =`{(x,y)|4x+5y=50,x,y in N}`.Express R and `R^-1`as set of ordered pairs

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UNITED BOOK HOUSE-MODEL QUESTION PAPERS-SET 14-EXERCISE
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  2. Median of 1st n natural numbers is

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  3. Let R be the relation defined on the set N of natural numbers as R ={(...

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

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  5. Show that sin ((7pi)/12)=1/4(sqrt6+sqrt2)

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  6. In /\ABC. if b cos A -a cos B = 0, show that the triangle isosceles.

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  7. If Z1 = -3 + 4i, Z2 = 12 - 5i, prove that |z1+z2|<|z1-z2|

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  8. How many solutions are there in the equation xyz = 2y where the soluti...

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  9. If n (> 1)is a positive integer, then show that 2^(2n)- 3n - 1 is divi...

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  10. If a. b, c are in A.P, then show that 1/(bc),1/(ca),1/(ab) are also in...

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  11. Find the perpendicular bisector of AB, where the co-ordinates of A and...

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  12. If the co-ordinate of three vertices of a- triangle are (9, 1, -3), (1...

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  13. Evaluate :lim(xrarrpi/2)(pi/2-x)tanx

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  14. If f(x + 2) = 2x^2 - 3x - 1, find the value of f(x + 1)

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  15. Three dice are thrown simultaneously. Find the probability that the su...

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  16. Two variables x and y are related by y=8+2x, if the S.D. of x is 3, th...

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

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

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  19. In /\ABCif1/(a+c)+1/(b+c)=3/(a+b+c),show that angleC=pi/3

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  20. Using mathematical induction, prove that 1/5n^5+1/3n^3+7n/15 is a natu...

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