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If r^(th) term is middle term in (x^2 -...

If `r^(th)` term is middle term in `(x^2 - (1)/(2x))^20` then `(r+ 3)^(th)` term is

A

`(""^20C_7 x)/(2^13)`

B

`-( (""^20C_5x)/(4^13))`

C

`- ((""^20C_7x)/(2^13))`

D

`- ((""^20C_14x)/(4^13))`

Text Solution

Verified by Experts

The correct Answer is:
C
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AAKASH SERIES-BINOMIAL THEOREM-EXERCISE - II
  1. If r^(th) term is middle term in (x^2 - (1)/(2x))^20 then (r+ 3)^(th)...

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  2. If 'a' is the coefficient of the middle term in the expansion of (1 + ...

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  3. The coefficient of the middle term in (1 + alpha x)^4 and (1 - alpha x...

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  4. The numerical value of middle terms in (1 - 1/x)^n (1 - x)^n is

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  5. If the middle term of (1+x)^ (2n) is (1.3.5….(2n-1)k)/(n!) then k=

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  6. The coefficient of the middle term in the expansion of (1+x)^40 is

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  7. If the third term in the expansion of (x + x log10 x)^5 is 10^6 then x...

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  8. In the expansion of (1 + x)^n if the 2nd and 3rd terms are respectivel...

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  9. (18^3+7^3+3.18. 7. 25)/(3^6 +6.243.2+15.81.4+20.27.8+15.9.16+6.3.32+64...

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  10. The expansion [x+(x^3-1)^(1//2)]^5+[x-(x^3-1)^(1//2)]^5 is a polynomia...

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  11. If the ratio of the 7th term from the beginning to the 7th term from t...

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  12. If the sum of odd terms and the sum of even terms in (x + a)^n are p ...

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  13. In the expansion of (root(5)(3) + root(7)(2))^24 , then rational term ...

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  14. The sum of the rational terms in expansion of (sqrt2+3^(1//5))^10 is

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  15. The number of rational terms in the binomial expansion of (root(4)5+ro...

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  16. The number of irrational terms in the expansion of (root(5)(3) + root(...

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  17. The number integral terms in the expansion of (sqrt3+root(8)(5))^256 i...

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  18. The sum of the coefficient of x^32 and x^-17 in (x^4-(1)/(x^3))^15 is

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

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  20. The term independent of x in (2x^(1//2)-3x^(-1//3))^20

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