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Find the middle term of (x- ( 1) /( x))...

Find the middle term of ` (x- ( 1) /( x)) ^( 16) `

A

`10 C_(5).((2)/(3))^(5) `

B

`-10 C_(3).((2)/(3))^(5) `

C

`10 C_(6).((2)/(3))^(5) `

D

`-10 C_(6).((2)/(3))^(5) `

Text Solution

Verified by Experts

The correct Answer is:
B
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HIMALAYA PUBLICATION-BINOMIAL THEOREM-QUESTION BANK
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  2. Constant term in the expansion of (x-(1)/(x))^(10) is

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  3. Find the middle term of (x- ( 1) /( x)) ^( 16)

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  4. If the coefficients of x^(7) and x^(8) in (2+(x)/(3))^(n) are equal, t...

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  5. In the expansion of (1+x)^(11) , the 5^(th ) term is 24 times the 3...

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  6. If (T(2))/(T(3)) is the expansion of (a+b)^(n) and (T(3))/(T(4)) in ...

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  7. If in the expansion (1+x)^(n) the 5^(th ) term is 4 times the 4^(th)...

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  8. Ratio of 3^(rd) and 4^(th) terms of (x+(2)/(3 x^(2)))^(7) is

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  9. If T, denotes the r^(th) term in the expansion of (x+(1)/(y))^(23)...

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  10. In the expansion of (1+x)^(10) the coefficient of (2 r+1)^(th) term...

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  11. If the coefficient of x^(7) in [ax^(2)+((1)/(bx))]^(11) equals the coe...

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  12. If 21^(st) and 22^(nd ) terms in the expansion of (1-x)^(44) are ...

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  13. If the coefficients of 5^(t h), 6^(th) and 7^(th) terms of (1+x)...

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  14. If the coefficients of second, third and fourth terms in the expansion...

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  15. The sum of the coefficients in the expansion of (1-x)^(10) is

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  16. If the sum of the coefficients in the expansion of (x+y)^(n) is 4096...

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  17. The sum of the coefficients in the expansion of (6 x-5 y)^(n) where n...

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  18. The sum of the coefficients in the expansion of (a x^(2)-2 x+1)^(35) i...

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  19. If (1+2 x+x^(2))^(n)=sum(r=0)^(2 n) a(r) x^(r), then a(r) =

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  20. If (1+x-2 x^(2))^(6)=1+a(1) x+a(z) x^(2)+l .. .+a(12) x^(12) then a(2...

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