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Find the coefficients of y^(2r+1) in ...

Find the coefficients of
`y^(2r+1)` in the expansion of `(y-(1)/(y))^(2n+1)`

Text Solution

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The correct Answer is:
`(-1)^(n-r).((2n+1)!)/((n-r)!(n+r+1)!)`
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CHHAYA PUBLICATION-BINOMIAL THEOREM -EXERCISE ( short answer Type Questions )
  1. Find the coefficients of x^(-11) in the expansion of (x^(2)-(1)/(x^(...

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  2. Find the coefficients of x^(-2) in the expansion of (3x-(7)/(x))^(...

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  3. Find the coefficients of y^(2r+1) in the expansion of (y-(1)/(y))^(...

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  4. Find the coefficients of x^(16) in the expansion of x^(10)(x-2)^(10...

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  5. Find the coefficients of x in the expansion of (1-x^(2)+2x^(4))(1-(...

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  6. Find the coefficients of x^(10) in the expansion of (1+x+x^(2))(1-x...

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  7. Find the term independent of x in each of the following expansions : ...

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  8. Find the term independent of x in each of the following expansions : ...

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  9. Find the term independent of x in each of the following expansions : ...

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  10. Find the term independent of x in each of the following expansions : ...

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  11. Find the term independent of x in each of the following expansions : ...

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  12. Find the term independent of x in each of the following expansions : ...

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  13. Find the term independent of x in each of the following expansions : ...

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  14. Find the term independent of x in each of the following expansions : ...

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  15. Which term in the expansion of (1+x)^(p).(1+(1)/(x))^(q) is independen...

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  16. Examine whether or not there is any term independent of x in the expan...

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  17. Examine whether or not there is any term containing x^(10) in the expn...

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  18. If the coefficient of x^(3) in the expansion of (x^(2) + (k)/(x))^(6) ...

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  19. If the term free from x in the expansion of (sqrt(x)-sqrt(m)/(x^(2)))^...

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  20. If the 21st and 22nd terms in the expansion of (1+x)^(44) are equal , ...

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