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The 4th term of (x+(2)/(x^3))^6 is...

The 4th term of `(x+(2)/(x^3))^6` is

A

`""^6 C_3 (x)^3 ((2)/(x^2))^2`

B

`""^6 C_3 (x)^3 ((2)/(x^3))^3`

C

`""^6 C_3 (x)^2 ((2)/(x^3))^2`

D

`""^6 C_3 (x)^2 ((2)/(x^3))^3`

Text Solution

Verified by Experts

The correct Answer is:
B
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DIPTI PUBLICATION ( AP EAMET)-BINOMIAL THEOREM-EXERCISE 1A (BINOMIAL THEOREM WITH INTEGRAL INDEX)
  1. The 6th term of (2+x)^10 is

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  2. The 12th term of (2x-1)^13 is

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  3. The 4th term of (x+(2)/(x^3))^6 is

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  4. The 3rd term of (3x-(y^3)/(6))^4 is

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  5. The third term from the end in the expansion of ((3x)/(5)-(5)/(2x))^8 ...

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  6. The ratio of 3rd and 4th terms of (x+2//3x^2)^7 is

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  7. The first three terms in the expansion of (1+x+x^2)^10 are

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  8. The coefficient of the 8th term in the expansion of (1+x)^10 is

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  9. The coefficient of x^8 in (3x^2+(5)/(x^3))^9 is

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  10. The coefficient of x in (x^2 +(c )/(x))^5 is

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  11. The coefficient of x^4 in ((x)/(2)-(3 )/(x^2))^10 is

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  12. The coefficient of x^3 in (sqrt(x^5)+(3)/(sqrt(x^3)))^6 is

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  13. If x^r occurs in the expansion (x+1//x^2)^(2n), then its coeff. Is

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  14. The coefficient of x^5 in (1+x^2)^5 (1+x)^4 is

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  15. The coefficient of x^24 in the expansion of (1+x^2)^(12) (1+x^12)(1+x^...

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  16. The coefficient of x^(-n) in (1+x)^n (1+(1)/(x))^n is

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  17. The coefficient of x^n in expansion of (1+x) (1-x)^n is

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  18. The coefficient of a^(-6) b^4 in the expansion of ((1)/(a)-(2b)/(3))^1...

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  19. The coefficient of x^2 y^3 z^4 in (ax-by+cz)^9 is

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  20. In the expansion of (2x+y+3z)^10 , the coefficient of x^2 y^5 z^3 is

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