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A relation R is defind on the set A={2,3...

A relation R is defind on the set A={2,3,4,5} as follows :`(x,y)in Rimpliesxand y` are relatively prime,Find domain and range of R.

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UNITED BOOK HOUSE-TECHNO INDIA GROUP ACADEMIA,SOUTH KOLKATA.-EXERCISE
  1. Find the middle term of the expansion (1-1/x)^8.

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  2. Find the power set of A={a,b,c}.

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  3. A relation R is defind on the set A={2,3,4,5} as follows :(x,y)in Rimp...

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  4. In /\ABC,a=2,b=3 and sin A=2/3.Find |B

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  5. Prove that ,(sin2x)/(1+cos2x)=tanx

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  6. Express in the form A+iB,(A,B are real),i/(1+i)+(1+i)/i

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  7. If (2n)C3:nC3=11:1find n.

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  8. The n term of an A.P is 7n-5,find the sum of first 20 terms of the se...

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  9. Find the 4the term from the end in the expansion of (x^3/2-2/x^2)^9

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  10. Find the equation of the perpendicular bisect or of the line joining t...

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  11. Find the ratio in which the line segment joining A(2,4,5) and B(3,5,4)...

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  12. Evaluate :lim(hrarr0)(e^h h)/h-1

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  13. If f(x)=x|x|,prove that f'(x)=2|x|.

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  14. In a lottery there are 10 prizes and 25 blanks.Find the probability of...

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  15. Find mean and variance for the following data 5,9,8,12,6,10,6,8.

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  16. For any three sets A, B, C. show thatAxx(B-C)=(AxxB)-(AxxC)

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  17. In any /\ABC,prove that sin(B-C)/(sin(B+C))=(b^2-c^2)/(a^2)

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  18. Prove that,cosx/(1-sinx)=tan(pi/4+x/2)

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  19. Prove by mathematical induction that1/1.3+1/3.5+1/5.7+...+1/((2n-1)(2n...

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  20. If x+iy=2/(3+costheta+isintheta),show that 2x^2+2y^2=3x-1

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