Home
Class 11
MATHS
If the coefficient of (2r+4)th and (r-2)...

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

A

4

B

5

C

6

D

7

Text Solution

Verified by Experts

In the expansion of `(1+x)^{18}`

coefficient of `T_(2r+4)=18 _(C_(2 r+3))`

coefficient of `T_(r-2)=18_( C_(r_3))`

Given,

`18_( C_(2 r+3))=18_( C_(T-3))`

...
Promotional Banner

Topper's Solved these Questions

  • ARITHMETIC PROGRESSIONS

    RD SHARMA|Exercise Solved Examples And Exercises|248 Videos
  • BRIEF REVIEW OF CARTESIAN SYSTEM OF RECTANGULAR COORDINATES

    RD SHARMA|Exercise Solved Examples And Exercises|75 Videos

Similar Questions

Explore conceptually related problems

If the coefficients of (2r+4)th and (r-2)th terms in the expansion of (1+x)^(18) are equal.Find r?

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

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

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 co-efficient of (2r+4)th term and (r-2)th term in expansion of (1+x)^(18) are equal,find r

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

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

If the coefficients of (2r +1)th and (4r + 5) th terms is the expansion of (1+x)^(10) are equal then 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

RD SHARMA-BINOMIAL THEOREM-Solved Examples And Exercises
  1. If the fourth term in the expansion of {sqrt(1/("""x"log^(x+1))+1/(x 1...

    Text Solution

    |

  2. If the coefficient of 2nd, 3rd and 4th terms in the expansion of (1...

    Text Solution

    |

  3. If the coefficient of (2r+4)th and (r-2)th terms in the expansion of ...

    Text Solution

    |

  4. Find the value of alpha for which the coefficients of the middle terms...

    Text Solution

    |

  5. If the term free form x in the expansion of (sqrt(x)-m/(x^(2)))^(10) i...

    Text Solution

    |

  6. If the seventh term from the beginning and end in the binomial expa...

    Text Solution

    |

  7. Find n in the binomial (2 3+1/(3 3))^n , if the ration 7th term from t...

    Text Solution

    |

  8. Write the number of the coefficients in the expansion of (1-3x+3x^2-x^...

    Text Solution

    |

  9. Write the sum of the coefficients in the expansion of (1-3x+x^2)^111.

    Text Solution

    |

  10. Find the number of terms in the expansion of (a+b+c)^ndot

    Text Solution

    |

  11. Write last two digits of the number 3^(400)dot

    Text Solution

    |

  12. Find the 8th term in the expansion of (x^(3/2)y^(1/2)-x^(1/2)y^(3/2))^...

    Text Solution

    |

  13. If n is a positive integer, find the coefficient of x^(-1) in the expa...

    Text Solution

    |

  14. Find the sixth term in the expansion (y^(1/2)+x^(1/3))^n , if the bino...

    Text Solution

    |

  15. Which term in the expansion of {(x/sqrty)^ (1/3)+(y/(x)^(1/3))^(1/2)}...

    Text Solution

    |

  16. Find the number of terms in the expansions of the following: (2x-3y)^9

    Text Solution

    |

  17. Find the number of terms in the expansions of the following: (1+3sqrt(...

    Text Solution

    |

  18. Find the number of terms in the expansions of the following: (sqrt(x)+...

    Text Solution

    |

  19. Find the number of terms in the expansions of the following: (3x+y)^8

    Text Solution

    |

  20. Find the number of terms in the expansions of the following: \ (2x+3y-...

    Text Solution

    |