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

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

A

`""^4 C_2 (3x)^2(-(y^3)/(6))^2`

B

`""^4 C_2 (3x)^2(-(y^2)/(6))^2`

C

`""^4 C_2 (3x)^3(-(y^3)/(6))^2`

D

`""^4 C_2 (3x)^3(-(y^2)/(6))^2`

Text Solution

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The correct Answer is:
A
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DIPTI PUBLICATION ( AP EAMET)-BINOMIAL THEOREM-EXERCISE 1A (BINOMIAL THEOREM WITH INTEGRAL INDEX)
  1. The 12th term of (2x-1)^13 is

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  20. The coefficient of x^5 in (2-x +3x^2)^6 is

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