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((n),(1))+((n),(2))+((n),(3))+.............

`((n),(1))+((n),(2))+((n),(3))+...........+((n),(n-1))=`......... .

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KUMAR PRAKASHAN-BINOMIAL THEOREM -PRACTICE WORK
  1. Find the middle term in expansion of : (x^(2)+a^(2))^(5)

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

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

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

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

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

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  7. Find the constant term of (3x^(2)-1/(2x^(3)))^(10)

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  8. The coefficients of three consecutive terms in the expansion of (1 + ...

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  9. Find the 13t^th term in the expansion of ( 9x-1/3sqrtx)^18, x !=0.

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  10. The sum of the coefficients of the first three terms in the expansion ...

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

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  12. If the coefficients of a^r-1, a^r and a^r+1 in the expansion of (1+a)^...

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  13. The 3rd , 4th and 5th terms in the expansion of (x+a)^(n) are respecti...

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  14. How many terms are free from radical signs in the expansion of (x^(1/5...

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  15. Find the coefficient of a^(4) in the product (1+2a)^(4)(2-a)^(5) usin...

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  16. ((n),(1))+((n),(2))+((n),(3))+...........+((n),(n-1))=......... .

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  17. Prove that (2 +sqrt(3))^(7) +(2-sqrt(3))^(7)=10084 Hence show that 100...

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  18. Show that the ratio of the coefficient of x^(10) in (1-x^(2)) and t...

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  19. Find the coefficient of x^(4) in the expansion of (1+x+x^(2)+x^(3))^(1...

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  20. If the constant term in expansion of (sqrt(x)-k/(x^(2)))^(10) is 405 t...

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