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If a and b are positive integers such th...

If a and b are positive integers such that `a^(2)-b^(4)=2009,` find a+b

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RESONANCE-DPP-QUESTION
  1. Write the following sets in the set builder from : {:((i), 0={0),(i...

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  2. How many positive integey x ae there such that 3x has 3 digits and 4x ...

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  3. If a and b are positive integers such that a^(2)-b^(4)=2009, find a+b

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  4. Find the number of positive integers x for which f(X)=x^(3)-8x^(2)+20x...

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  5. If a is defined by f (x)=a(0)x^(n)+a(1)x^(n-2)+a(2)x^(n-2)+...+a(n-1)x...

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  6. If a is defined by f (x)=a(0)x^(n)+a(1)x^(n-2)+a(2)x^(n-2)+...+a(n-1)x...

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  7. If a is defined by f (x)=a(0)x^(n)+a(1)x^(n-2)+a(2)x^(n-2)+...+a(n-1)x...

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  8. If a is defined by f (x)=a(0)x^(n)+a(1)x^(n-2)+a(2)x^(n-2)+...+a(n-1)x...

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  9. Which of the following conditions imply that the real number x is rati...

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  10. Let N=(2+1)(2^(2)+1)(2^(4)+1)......(2^(32)+1)+1and n2^(lamda)"then the...

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  11. If (x+y)^(2)=2(x^(2)+y^(2))and(x-y+lamda)^(2)=4,lamdagt0, then lamda i...

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  12. Which of the following sets are empty sets ? (i) {x:x^(2)=2 and x is...

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  13. State which of the following sets are finite and which infinite : (i...

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  14. In each of the following cases, state whether A = B or A ne B. (i) A...

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  15. When two ratios are equal, then the four quantities compositing them a...

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  16. When two ratios are equal, then the four quantities compositing them a...

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  17. When two ratios are equal, then the four quantities compositing them a...

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  18. Least integral value of x satisfying the inequation (x^(2)+1)lt(x+2)^(...

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  19. The polynomials P(x)=kx^(3)+3x^2-3and Q(x)=2x^(3)-5x+k, when divided b...

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  20. Let f(x) be a polynomial function, if (x) is divided by x-1,x+1&x+2, t...

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