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Prove that the constant term in the expa...

Prove that the constant term in the expansion of `(x+(1)/(x))^(2n) " is " (1.3.5…..(2n-1))/(|uln).2^(n)`

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NAGEEN PRAKASHAN-BINOMIAL THEOREM-Exercise 8C
  1. If 'n' is a positive integer then prove that the coefficient fox^(m) i...

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  2. Find the term independent of x (constant term) in the following expans...

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  3. Prove that the constant term in the expansion of (x+(1)/(x))^(2n) " is...

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  4. Find the coefficient of a^5b^7in(a-2b)^(12)

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  5. Find the coefficient of x^(2).y^(7) in the expansion of (x+2y)^(9)

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  6. Prove that the ratio of the coefficient of x^10 in (1 - x^2)^10 & the ...

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  7. Prove that the greatest coefficient in the expansion of (1+x)^(2n) is...

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  8. Find a positive value of m for which the coefficient of x^2 in the ex...

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  9. The sum of the coefficients of x^(32) and x^(-17) in (x^4- 1/(x^3))^15...

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  10. If the coefficient of x^7 in (ax^2+1/(bx))^11 is equal to the coeffici...

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  11. Find the coefficient of x^9 in the expansion of (x^2-1/(3x))^9.

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  12. Find the coefficient of x^(10) in the expansion of (1-x^(2))^(10)

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  13. The coefficient of x^(-17) in the expansion of (x^4-1/x^3)^(15) is

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  14. Find the coefficient of x^(40) in the expansion of (1+2x+x^2)^(27)dot

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  15. If 'n' is a positive integer then prove that the coefficient fox^(m) i...

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  16. Find the term independent of x (constant term) in the following expans...

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  17. Prove that the term independent of x in the expansion of (x +1/x)^(2n)...

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  18. Find the coefficient of a^5b^7in(a-2b)^(12)

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  19. Find the coefficient of x^(2).y^(7) in the expansion of (x+2y)^(9)

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  20. Prove that the ratio of the coefficient of x^10 in (1 - x^2)^10 & the ...

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