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If the middle term in the expansion of (...

If the middle term in the expansion of `(x^2+1//x)^n` is `924 x^6,` then find the value of `ndot`

A

8

B

10

C

12

D

20

Text Solution

Verified by Experts

The correct Answer is:
C
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MCGROW HILL PUBLICATION-MATHEMATICAL INDUCTION AND BINOMIAL THEOREM-EXERCISE (LEVEL 1 Single Correct Answer Type Questions)
  1. If the middle term in the expansion of (x^2+1//x)^n is 924 x^6, then f...

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  2. The greatest term in the expansion of sqrt5(1+1/(sqrt5))^(20) is:

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  3. Let S(theta) denote the sum of coefficients in the expansion of (sqrt2...

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  4. Suppose (x+a)^(n)=T(0)+T(1)+T(2)+…+T(n) Then (T(0)-T(2)+T(4)-…)^(2...

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  5. For 0ler < 2n, (""^(2n + r)C(n)) (""^(2n-r)C(n)) cannot exceed

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  6. If sum of the coefficients in the expansion (2x^(2)-3cx+c^(2))^(17) is...

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  7. Coefficient of constant term in the expansion of (x^(3)+5(3)^(-logsqrt...

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  8. If the number of terms in the expansion of (1+5x+10x^(2)+10x^(3)+5x^(4...

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  9. If P(n) denotes the product of all the coefficients in the expansion o...

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  10. Coefficient of the term independent of x in the expansion of (1+x)^(2n...

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  11. Find the coefficient of x^4 in the expansion of (x//2-3//x^2)^(10)dot

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  12. If A and B are coefficients of x^r and x^(n-r) respectively in the e...

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  13. If the coefficients of (2r + 4)th and (r - 2)th terms in the expansion...

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  14. The total number of terms in the expansion of (x + a)^(200) + (x - a)^...

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  15. Sum of all the digits of the coefficient of x^(5) in the expansion of ...

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  16. Given positive integers r >1,n >2 and that the coefficient of (3r d)t ...

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  17. If (1 +px)^(n) = 1 + 24x + 264x^(2) + .. . then

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  18. find the sum of the series sum(r=0)^n(-1)^r *"^nCr[1/(2^r)+(3^r)/(2^(...

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  19. The value of .^(n)C(0).^(n)C(n).^(n)C(1).^(n)C(n-1)+...+.^(n)C(n)....

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  20. Express: ((x+sqrt(x^2+1)^6+ (x-sqrt(x^2+1))^6 as a polynomial in x

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