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The interval in which x must lie so that...

The interval in which x must lie so that the
greatst term in the expansion of `(1 +x)^(2n)` has the greatest
coefficient,is

A

`((n-1)/n,n(n-1))`

B

`(n/(n+1),(n+1)/n)`

C

`(n/(n+2),(n+2)/n)`

D

none of these

Text Solution

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The correct Answer is:
B
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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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  2. Suppose a(0) = 2017, a(1) a(2), ... , a(n- 1), 2023 = a(n), are in A.P...

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  3. The interval in which x must lie so that the greatst term in the ex...

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  4. If the coefficients of the rth, (r +1)th and (r + 2)th terms in the bi...

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  5. Let x > - 1, then statement P(n) : (1 + x)^(n) > 1 + nx is true for

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  7. x^(2n-1)+y^(2n-1) is divisible by x+y

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  8. For each n in N, n(n+1) (2n+1) is divisible by

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  11. Let S(k) = 1 + 3 + 5 +...+ (2k -1) = 3 + k^2. Then which of the follow...

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  12. Let (1 + x)^(n) = sum(r=0)^(n) C(r) x^(r) and , (C(1))/(C(0)) + 2 (...

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  13. The last term in the binomial expansion of (2^(1/3) -1/sqrt(2))^n is (...

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  14. Degree of the polynomial (x^(2)-sqrt(1-x^(3)))^(4)+(x^(2)+sqrt(1-x^(3)...

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  15. Coefficient of 1/x in the expansion of (1 + x)^(n) (1 + 1//x)^(n) is

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  16. Find the coefficient of x^4 in the expansion of (1+ x +x^2+ x^3)^11

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  17. Find the 6th term of the expansion (y^(1//2) + x^(1//3))^(n) , if the ...

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  18. If a> 0 and coefficient of x^(2),x^(3),x^(4) in the expansion of (1 + ...

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  19. The sum of the coefficients of middle terms in the expansion of (1+x)^...

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  20. If a is a real number and if the middle term of (a/3+3)^(8) is 1120, t...

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