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If the coefficients of a^(m) and a^(n) i...

If the coefficients of `a^(m) and a^(n)` in the expansion of `(1+a)^(m+n)` are `alpha and beta` then which one of the following is correct ?

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MODERN PUBLICATION-BINOMIAL THEOREM-EXERCISE 8 (B)(LONG ANSWER TYPE QUESTION-I)
  1. Find the coefficient of x^40 in the expansion of (1+2x+x^2)^54

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  2. Which term contains x^8 in the expansion of (x^2 - 1/x)^10? Also , fin...

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  3. If the coefficients of a^(m) and a^(n) in the expansion of (1+a)^(m+n)...

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  4. Find a if the coefficient of x^2 and x^3 in the expansion of (3+ax)^9 ...

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  5. Find the coefficient of a^4in the product (1+2a)^4(2-a)^5using binomi...

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  6. In the binomial expansion of (a+b)^n , coefficients of the fourth and ...

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  7. In the expansion of (1+a)^(34) , if the cofficient of (r-5)^(th) and (...

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  8. Which term is independent of 'x' in the expansion of (2x^2 + 1/x)^12 ...

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  9. Write and simplify the term independent of 'x' in the expansion of (x^...

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  10. Find the term independent of x in the expansion of: (x-1/x)^(12) .

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  11. Find the term independent of x in the expression (x-1/x)^(14)

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  12. Find the term independent of x in the expansion of (3/2x^2-1/(3x))^6.

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  13. Find the term independent of 'x' , x ne 0 in the expansion of (x^2 ...

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  14. Find the term independent of 'x' , x ne 0 in the expansion of (3 - (...

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  15. Write and simplify the coefficient of the term independent of 'x' in t...

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  16. Find the greatest term in (x+y)^n , when x=11 , y=4, n=30

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  17. If x=1//3, find the greatest tem in the expansion of (1+4x)^8dot

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  18. Find a, b and n in the expansion of (a+b)^nif the first three terms ...

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  19. The first three terms in the Binomial expansion of (x+y)^n are 1,56 an...

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  20. The coefficients of three consecutive terms in the expansion of (1+a)...

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