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The coefficient of the x^(21) in the exp...

The coefficient of the `x^(21)` in the expansion of `(x+x^(2))^(20)` is `………`

A

`{:((20),(1)):}`

B

`{:((20),(0)):}`

C

`{:((20),(2)):}`

D

`{:((20),(12)):}`

Text Solution

Verified by Experts

The correct Answer is:
A
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KUMAR PRAKASHAN-BINOMIAL THEOREM -TEXTBOOK BASED MCQS
  1. If the middle term in (a+b)^(10) " is " T(r-1) then r = ……

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  2. The constant term in the expansion of (2x^(2)-1/x)^(12) is ……..

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  3. The coefficient of the x^(21) in the expansion of (x+x^(2))^(20) is ……...

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  4. The value of (sqrt(5)+1)^(5)-(sqrt(5)-1)^(5) is ………

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  5. (1+x)^(10)=a(0)+a(1)x+a(2)x^(2)+……..+a(10)x^(10) then the value of (a(...

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  6. The sum of the coefficient in the expansion (1+x-3x^(2))^(4331) is ………

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  7. In the expansion of (2sqrt(2)+root4(7))^(100) the number of the term ...

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  8. Dividing 5^(99) by 13 , the remainder is …………

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  9. 9^(7) +7^(9) is divisible by …………

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  10. sum(r=0)^(n).^(n)C(r)4^(r)=..........

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  11. If (1+2x-3x^(2))^(5)=1+a(1)x+a(2)x^(2)+….+a(10)x^(10) then the value o...

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  12. (2+sqrt(3))^(4)+(2-sqrt(3))^(4) = x+ ysqrt(3) then y = ………..

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  13. In the expansion of (1+x)^(n) if the coefficients of the terms 5^(th) ...

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  14. The constant term in the expansion of (x-1/(3x^(2)))^(9) is the ……… te...

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  15. In the expansion of (1+x)^(21)+(1+x)^(22) +…….+(1+x)^(30) , the coeffi...

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  16. In the expansion of (x+a)^(100)+(x-a)^(100) , there are ………… terms

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  17. The middle term in the expansion (x^(2)-1/(2x))^(20) is r than (r+3)^(...

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  18. In the expansion of (x^(4) -1/(x^(3)))^(15) if in the r^(th) temr , t...

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  19. If 5^(th),6^(th) and 7^(th) terms in the expansion of (1+y)^(n) are in...

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  20. If in the expansion of (a+b)^(n) , (T(2))/(T(3)) is equal to (T(3))/(...

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