Home
Class 11
MATHS
If the coefficients of (r-5)^(th) and (2...

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

Text Solution

AI Generated Solution

To solve the problem, we need to find the value of \( r \) such that the coefficients of the \( (r-5)^{th} \) term and the \( (2r-1)^{th} \) term in the expansion of \( (1+x)^{34} \) are equal. ### Step-by-Step Solution: 1. **Identify the General Term**: The general term \( T_{r+1} \) in the expansion of \( (1+x)^{34} \) is given by: \[ T_{r+1} = \binom{34}{r} x^r ...
Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM

    NCERT ENGLISH|Exercise EXERCISE 8.1|14 Videos

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    NCERT ENGLISH|Exercise All Questions|75 Videos

Similar Questions

Explore conceptually related problems

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

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

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

If the coefficient of (3r)^(th) and (r + 2)^(th) terms in the expansion of (1 + x)^(2n) are equal then n =

If the coefficients of (2r + 1)th term and (r + 2)th term in the expansion of (1 + x)^(48) are equal,find r .

If the coefficients of (2r+4)^("th") term and (3r+4)^("th") term in the expansion of (1+x)^(21) are equal, find r.

If the coefficient of (2r+4)th and (r-2)th terms in the expansion of (1+x)^(18) are equal, find r .

Given positive integers r>1,n> 2, n being even and the coefficient of (3r)th term and (r+ 2)th term in the expansion of (1 +x)^(2n) are equal; find r

If the coefficient of (2r+ 5) th term and (r- 6) th term in the expansion (1+x)^39 are equal, find r

If the coefficient of (2r + 4)^(th) term and (r - 2)^(th) term in the expansion of (1 + x)^18 are equal then find r.