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

The interval in which x must lie so that the numerically
greatest term in the expansion of `(1 - x)^(21)` has the
numerically greatest coefficient, is

A

`[(5)/(6),(6)/(5)]`

B

`((5)/(6),(6)/(5))`

C

`((4)/(5),(5)/(4))`

D

`[(4)/(5),(5)/(4)]`

Text Solution

Verified by Experts

The correct Answer is:
B
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OBJECTIVE RD SHARMA ENGLISH-BINOMIAL THEOREM AND ITS APPLCIATIONS -Exercise
  1. If there is a term containing x^(2r) in (x + (1)/(x^(2)))^(n-3), then

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  2. If n is an even positive integer, then find the value of x if the grea...

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  3. The interval in which x must lie so that the numerically greatest t...

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

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  5. Find the remainder when 5^(99) is divided by 13.

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  6. If Co C1, C2,.......,Cn denote the binomial coefficients in the expans...

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  7. If C(0), C(1), C(2), ..., C(n) denote the binomial cefficients in t...

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

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  9. Find the sum 3 .^(n)C(0) - 8 .^(n)C(1) + 13 .^(n)C(2) - 18 xx .^(n)C(...

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  10. If (1 + x)^(n) = C(0) + C(1)x + C(2) x^(2) + …+ C(n) x^(n), then for n...

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  11. If (1+x)^(n) = C(0) + C(1) xm + C(2)x^(2) + "……" + C(n)x^(n), then ...

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  12. Find the sum 2C0+(2^3)/2C1+(2^3)/3C2+(2^4)/4C3++(2^(11))/(11)C(10)dot

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  13. Prove that ""^(m+n)C(r) = ""^(m)C(r) + ""^(m)C(r-1) + ""^(n)C(1) +...

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  14. Find the value of 1/(81^n)-(10)/(81^n)^(2n)C1+(10^2)/(81^n)^(2n)C2-(10...

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  15. The term independent of x in the expansion of (x-1/x)^(4) (x+1/x)^(3) ...

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  16. if the coefficients of x^(5)" and "x^(15) in the expansion of (x^(2)+(...

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  17. If n is a positive integer and C(k)=""^(n)C(k), then the value of sum(...

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  18. Find the coefficients of x^(50) in the expression (1+x)^(1000)+2x(1+x)...

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  19. about to only mathematics

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  20. The coefficient of x^(n) in the expansion of (1)/((1-x)(3 -x)), is

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