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If the coefficients of (r-5)^(t h) and (...

If the coefficients of `(r-5)^(t h)` and `(2r-1)^(t h)` terms in the expansion of `(1+x)^(34)` are equal, find `rdot`

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To solve the problem, we need to find the coefficients of the specified terms in the expansion of \( (1+x)^{34} \) and set them equal to each other. ### Step 1: Identify the terms in the expansion The general term in the expansion of \( (1+x)^{34} \) is given by: \[ T_k = \binom{34}{k} x^k \] where \( k \) is the term number starting from \( 0 \). ...
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RD SHARMA-BINOMIAL THEOREM-Solved Examples And Exercises
  1. Prove that the coefficients of x^n in (1+x)^(2n) is twice the coeffici...

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

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

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

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

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

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  7. If the fourth term in the expansion of (a x+1/x)^n \ is \ 5/2,\ then ...

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  8. The sum of the coefficients of first three term in the expansion of (x...

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  9. If x^p occurs in the expansion of (x^2+1//x)^(2n) , prove that its coe...

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  10. If in the expansion of (1+x)^m (1-x)^n, the coefficients of x and x^2 ...

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  11. If in the expansion of (1-x)^(2n-1) ardenotes the coefficient of x^r t...

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  12. If 3rd, 4th, 5th terms in the expansion of (a+x)^n be 84, 280 and 560,...

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  13. Find the number of terms which are free from radical signs in the e...

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  14. Find the 11th term form the beginning and the 11th term form the en...

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  15. Find the 7th term in the expansion of (3x^2-1/(x^3))^(10)dot

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  16. Find the 5th term from the end in the expansion of (3x-1/(x^2))^(10)do...

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  17. Find the 7th term in the expansion of ((4x)/5+5/(2x))^8dot

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  18. Find the 4th term from the beginning and 4^(th) term from the end in ...

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  19. Find the 4th term from the end in the expansion of ((4x)/5-5/(2x))^8do...

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  20. Find the 7th term from the end in the expansion of (2x^2-3/(2x))^8dot

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