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The coefficient of the term independent ...

The coefficient of the term independent of `x` in the exampansion of `((x+1)/(x^(2//3)-x^(1//3)+1)-(x-1)/(x-x^(1//2)))^(10)` is `210` b. `105` c. `70` d. `112`

A

210

B

105

C

70

D

35

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MCGROW HILL PUBLICATION-MATHEMATICAL INDUCTION AND BINOMIAL THEOREM-SOLVED EXAMPLES ( LEVEL 1 Single Correct Answer Type Questions)
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  3. The coefficient of the term independent of x in the exampansion of ((x...

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  4. If (1+ x)^(n) = C(0) + C(1) x + C(2)x^(2) + ...+ C(n)x^(n) , prove tha...

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  5. (1 + x)^(n) = C(0) + C(1) x + C(2) x^(2) + C(3) x^(3) + … + C(n) x^(n)...

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  6. If n in N, n > 1, then value of E= a - ""^(n)C(1) (a-1) + ""^(n)C(2) (...

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  7. Suppose ABC is a triangle and n is a natural number, then sum of the s...

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  8. Find the positive integer just greater than (1+0. 0001)^(10000)dot

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  9. The coefficient of the middle term in the binomial expansion in powers...

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  10. For natural numbers m, n if (1-y)^(m)(1+y)^(n) = 1+a(1)y+a(2)y^(2) + "...

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  11. The sum of the series .^(20)C(0)-.^(20)C(1)+ .^(20)C(2)-.^(20)C(3)+...

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  12. The sum of the coefficients of all odd degree terms in the expansion o...

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  13. The coefficient of x^r[0lt=rlt=(n-1)] in lthe expansion of (x+3)^(n-1)...

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  14. Number of zeroes at the end of 99^(1001)+1?

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  15. The co-efficient of x^k (0 <= k <= n) in the expansion of E= 1+(1+x) +...

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  16. Find the number of irrational terms in the expansion of (5^(1//6)+2^(1...

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  17. The sum of the rational terms in the expansion of (2^(1//5) + sqrt(...

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  18. In the expansion of (x^3-1/x^2)^n, n in N if sum of the coefficients o...

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  19. If in the expansion of (1 + ax)^(n),n in N, the coefficient of x an...

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  20. The greatest value of the term independent of x, as alpha varies over ...

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