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Find the 11th term from the end in the e...

Find the 11th term from the end in the expansion of `(2x-1/(x^2))^(25)dot`

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To find the 11th term from the end in the expansion of \((2x - \frac{1}{x^2})^{25}\), we can follow these steps: ### Step 1: Identify the number of terms in the expansion The number of terms in the expansion of \((a + b)^n\) is given by \(n + 1\). Here, \(n = 25\), so the number of terms is: \[ 25 + 1 = 26 \] ...
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RD SHARMA-BINOMIAL THEOREM-Solved Examples And Exercises
  1. Find the constant term in the expansion of ((4x^2)/3+3/(2x))^9.

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

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  3. Find the 11th term from the end in the expansion of (2x-1/(x^2))^(25)d...

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  4. Find n, if the ratio of the fifth term from the beginning to the fifth...

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  5. Find a if 17th and 18th terms in the expansion of (2+a)^(50) are eq...

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  6. Show that the middle term in the expansion of (1+x)^(2n)\ is =frac{1....

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  7. Prove that the coefficient of the middle term in the expansion of (1+x...

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  8. Find the coefficient of x^(10) in the binomial expansion of (2x^2-1/x)...

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  9. Find the coefficient of x^6y^3 in the expansion of (x+2y)^9dot

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  10. Find the coefficient of x^(40) in the expansion of (1+2x+x^2)^(27)dot

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  11. Find the coefficient of x^5 in the expansioin of the product (1+2x)^6(...

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  12. Find the term independent of x in the expansion of: (x-1/x)^(14) .

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  13. Find the term independent of x in the expansion of: \ (2x^2-3/x^3)^(10...

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  14. In the binomial expansion of (1+a)^(m+n) , prove that the coefficient ...

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  15. Prove that the coefficients of x^n in (1+x)^(2n) is twice the coeffici...

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  16. Find a positive value of m for which the coefficient of x^2 in the exp...

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  17. If the coefficients of (r-5)^(t h) and (2r-1)^(t h) terms in the expan...

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  18. The coefficients of three consecutive terms in the expansion of (1+x)^...

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  19. If the coefficients of a^(r-1),\ a^r and \ a^(r+1) in the binomial exp...

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  20. The coefficients of (r-1)^(t h),\ r t h\ a n d\ (r+1)^(t h) terms in t...

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