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Find the coefficient of : x^(11) " in "...

Find the coefficient of :
`x^(11) " in " (x^(3)-2/(x^(2)))^(12)`

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The correct Answer is:
`-25344`
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If the coefficient of x^(7) in the expansion of (ax^(2) +1/(bx))^(11) is equal to the coefficient of x^(-7) in the expansion of (ax- 1/(bx^(2)))^(11) are equal then prove that ab = 1 .

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KUMAR PRAKASHAN-BINOMIAL THEOREM -PRACTICE WORK
  1. Find the coefficient of : x^(10) " in " (x^(2)-2)^(11)

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  2. Find the coefficient of : x^(40) " in " (1^(2)+2x)^(20)

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  3. Find the coefficient of : x^(11) " in " (x^(3)-2/(x^(2)))^(12)

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  4. Find the general term in the expansion of (5x-3)^(12)

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  5. Find the general term in the expansion of (z^(2)-3/(z^(2)))^(35)

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  6. Find the general term in the expansion of (x+3y)^(10)

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  7. Find the general term in the expansion of (y^(2)+6y+9)^(20)

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  8. Find the general term in the expansion of (3y+6z)^(9)

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  9. Find the 6^(th) term in expansion of ((x^(3))/2-2/(x^(2)))^(9)

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  10. Find the 7^(th) term in the expansion of (x+3y)^(8)

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  11. Find the 7^(th) term in the expansion of (3x - (2y)/3)^(10)

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  12. Find the 6^(th) term in expansion of (z^(2)+(2z)/3+1/9)^(5)

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  13. Find the middle term in expansion of : (2x+3y)^(9)

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  14. Find the middle term in expansion of : (a/x+bx)^(12)

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  15. Find the middle term in expansion of : (x^(2)+a^(2))^(5)

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  16. Find the middle term in expansion of : (1-2x+x^(2))^(n)

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  17. Find the middle term in expansion of : (2ax -b/(x^(2)))^(12)

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  18. If the coefficients of 4^(th) and 13^(th) terms in the expansion of (a...

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  19. If 4^(th) term of (ax+1/x)^(n) is 5/2 then find a and n .

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  20. Prove that there is no term involving x^(6) in the expansion of (2x^(...

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