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Find the middle term in the expansion of...

Find the middle term in the expansion of : `(1+3x+3x^2+x^3)^(2n)`

A

31

B

32

C

10

D

11

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A
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NAGEEN PRAKASHAN ENGLISH-BINOMIAL THEOREM-Exercise 8E
  1. No. of terms in the expansion of (1+3x+3x^(2)+x^(3))^(10) is:

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  2. Find (x+1)^6+(x-1)^6. Hence or otherwise evaluate (sqrt(2)+1)^6+(sqrt(...

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  3. 15th term in the expansion of (sqrt(x)-sqrt(y)^(17) is :

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  4. If the coefficients of the (n+1)^(t h) term and the (n+3)^(t h) term i...

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  5. Find a if 17th and 18th terms in the expansion of (2+a)^(50) are eq...

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  6. Find the coefficient of x^(-25) in the expansion of ((x^(2))/(2)-(3)/(...

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  7. The reamainder left out when 8^(2n) - (62)^(2n+1) is divided by 9 is

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  8. No. of terms in the expansion of (1+2x)^(9) +(1-2x)^(9) is :

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  9. Find the middle term in the expansion of : \ (x-1/x)^(10)

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  10. if the coefficient of (2r+1)th term and (r+2)th term in the expansion...

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  11. Find the middle term in the expansion of : (1+3x+3x^2+x^3)^(2n)

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  12. Find (x+1)^6+(x-1)^6dot hence, or otherwise evaluate (sqrt(2)+1)^6+(sq...

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  13. 15th term in the expansion of (sqrt(2)-sqrt(y))^(17) is :

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  14. If the coefficients of the (n+1)^(t h) term and the (n+3)^(t h) term i...

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  15. Find a if 17th and 18th terms in the expansion of (2+a)^(50) are eq...

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  16. Find the coefficient of x^(-25) in the expansion of ((x^(2))/(2)-(3)/(...

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  17. The reamainder left out when 8^(2n) - (62)^(2n+1) is divided by 9 is

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  18. No. of terms in the expansion of (1+2x)^(9) +(1-2x)^(9) is :

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  19. Find the middle term in the expansion of : \ (x-1/x)^(10)

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  20. If the coefficient of (2r+1) th and (r+2) th terms in the expansion of...

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