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The value of the sum 1/(3^2+1)+1/(4^2+2)...

The value of the sum `1/(3^2+1)+1/(4^2+2)+1/(5^2+3)+...oo` is equal to

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RESONANCE DPP-JEE MAINS-All Questions
  1. If ' a ' is a natural number and ' b ' a digit such that (3a+2007)^2...

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  2. If n^(2)-11n+24=0 is satisfied by n(1)&n(2) where n(2)gtn(1) then

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  3. The value of the sum 1/(3^2+1)+1/(4^2+2)+1/(5^2+3)+...oo is equal to

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  4. If n^2+2n-8 is a prime number where n in n , then n is a. also a p...

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  5. The quadratic equation x^2-9x+3=0 has roots alphaa n dbetadot If x^2-b...

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  6. Number of ordered pairs (a,b) for which sin^(-1)(1+b+b^2+..oo)+cos^(-1...

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  7. Make the following expressions free from modulus sign: (x in R) |2x-...

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  8. If m ,n in Na n dm^2-n^2=13 ,t h e n(m+1)(n+1) is equal to a. 42 b. 5...

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  9. Make the following expressions free from modulus sign: (x in R) |x+1...

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  10. The chance that the vowels are separated in an arrangement of the l...

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  11. The difference of the squares of two consecutive odd integers is di...

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  12. Evaluate/simplify the following: |2 3-3 4|

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  13. Make the following expressions free from modulus sign: (x in R) |x^2...

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  14. Identify the correct statement If a ,b ,c are odd integers (a) a+b+c c...

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  15. If relation R is defined as R={((x+1)/2,(x-1)/2): w h e r ex in Wa n...

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  16. Make the following expressions free from modulus sign : (x in R) (...

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  17. If m^2-n^2= 7, where m, n epsilon Z, then number of ordered pairs (m,...

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  18. Number of values of k for which the lines k x+y+1=0 x+k y+2=0 x+y...

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  19. Make the following expressions free from modulus sign: (x in R) |x^3...

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  20. Prove that (r+r1)tan((B-C)/2)+(r+r2)tan((C-A)/2)+(r+r3)tan((A-B)/2)=0

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