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If the coefficient of 4^(th) term in th...

If the coefficient of `4^(th)` term in the expansion of
`(x+(alpha)/(2 x))^(n)` is 20, then the respective values ofalpha and `n ` are

A

2,7

B

5,8

C

3,6

D

2,6

Text Solution

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The correct Answer is:
D
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HIMALAYA PUBLICATION-BINOMIAL THEOREM-QUESTION BANK
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  3. If the coefficient of 4^(th) term in the expansion of (x+(alpha)/(2...

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  4. If the rth term is the middle term in the expansion of (x^(2)-(1)/(2x)...

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  5. The coefficient of x^(13) in the expansion of (1-x)^(5)(1+x+x^(2)+x...

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  6. The coefficient of (1)/(y^(2)) in (y+(c^(3))/(y^(2)))^(10) is

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  7. If the r^(th) term in the expansion of ((x)/(3)-(2)/(x^(2)))^(10) con...

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  8. The 7^(th) term in ((1)/(y)+y^(2))^(10) , when expanded in descendin...

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  9. The term independent of x in (1+x)^(m)(1+(1)/(x))^(n)

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  10. The 6^(th) term for the end of the expansion of (3 x-(1)/(x^(2)))^(1...

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  11. The last term in the binomial expression of (root(3)(2)-(1)/(sqrt(2)))...

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  12. The number of non zero terms in the expansion of (1+2sqrt(3) x)^(9)+...

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  14. If r^(th) and (r+1)^(th) term in the expansion of (1+x)^(n) are equ...

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  15. If the coefficients of r^(th) and (r+1)^(th) term in the expansion o...

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  17. If the second term in the expansion ((a)^(1/13)+(a)/(sqrt(a^(-1))))^...

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  19. (1)/(n !)+(1)/(2 !(n-2) !)+(1)/(4 !(n-4) !)+.... =

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  20. The coefficient of x^(5) in the expansion of (1+x)^(21)+(1+x)^(22)+....

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