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If a and b are respective coefficients o...

If a and b are respective coefficients of `x^m` and `x^n` in the expansion of `(1+ x)^(m+n)` then

A

a + b = m+ n

B

a = 2b

C

a = b

D

b = 2a

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The correct Answer is:
C
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AAKASH SERIES-BINOMIAL THEOREM-EXERCISE - I
  1. No. of term in (1 + 3x + 3x^2 + x^3)^6 is

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  2. The number of distinct terms in (a + b+ c + d + e)^3 is

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  3. If a and b are respective coefficients of x^m and x^n in the expansion...

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  4. If the coefficient of (3r)^(th) and (r + 2)^(th) terms in the expansio...

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  5. If the coefficients ""^nC4, ""^nC5, ""^nC6 of (1 +x)^n are in A.P. the...

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  6. C0 + 2.C1 + 4.C2 + …….+Cn.2^n = 243 , then n =

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  7. 1/2. ""^nC0 + ""^nC1 + 2. ""^nC2 + 2^2. ""^nC3 + …….+ 2^(n-1) . ""^nCn...

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  8. ""^((2n + 1))C0 + ""^((2n+ 1))C1 + ""^((2n + 1))C2 + ……+""^((2n + 1))C...

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  9. ""^((2n + 1))C0 - ""^((2n+ 1))C1 + ""^((2n + 1))C2 - ……+""^((2n + 1))C...

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  10. ((1 + ""^nC1 + ""^nC2 + ""^nC3+…….+nCn)^2)/(1 + ""^(2n)C1 + ""^(2n)C2 ...

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  11. ""^21C0 + ""^21C1 + ""^21C2 + ……..+ ""^21C10 =

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  12. C0^2 + C1^2 + C2^2 + ………+C25^2 =

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  13. Prove that (""^(2n)C(0))^(2)-(""^(2n)C(1))^(2)+(""^(2n)C(2))-(""^(2n...

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  14. C0C2 + C1C3 +C2C4+……..+C(n-2) Cn =

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  15. If the coefficients of x^2 and x^4 in the expansion of (x^(1/3) + (2)/...

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  16. Sum of the coefficients of (1+ x/3 + (2y)/(3))^12

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  17. Sum of coefficients of x^(2r) , r = 1,2,3…. in (1+x)^n is

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  18. Sum of coefficients of terms of even powers of x in (1 - x + x^2 - x^...

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  19. Sum of coefficients of terms of odd powers of x in (1 - x + x^2 - x^3)...

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  20. The range of x of which the expansion ( 9 + 25x^2)^(-6//5) is valid is

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