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

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

Text Solution

Verified by Experts

The correct Answer is:
r=6
Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM

    CBSE COMPLEMENTARY MATERIAL|Exercise LONG ANSWER TYPE QUESTIONS(Section-D)|16 Videos

  • BINOMIAL THEOREM

    CBSE COMPLEMENTARY MATERIAL|Exercise SHORT ANSWER TYPE QUESTIONS((section-B)|7 Videos

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    CBSE COMPLEMENTARY MATERIAL|Exercise Short Answer Type Questions|49 Videos

Similar Questions

Explore conceptually related problems

(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 (2r +1)th and (4r + 5) th terms is the expansion of (1+x)^(10) are equal then 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 coefficient of (3r + 4)th term and (2r - 2)th term in the expansion of (1 + x)^(20) are equal then r is equal to,

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 coefficient of 2r+4theand(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 (r-5) thand (2r-1)th terms in the expansion of (1+x)^(34) are equal, find r.

CBSE COMPLEMENTARY MATERIAL-BINOMIAL THEOREM -SHORT ANSWER TYPE QUESTIONS (section-C)
  1. If the first three terms in the expansion of (a + b)^(n) are 27, 54 an...

    Text Solution

    |

  2. In (3x^(2)-(1)/(x))^(16) which term contains x^(12) .

    Text Solution

    |

  3. Find the term independent of x in the expansion of (a) (sqrt(x/3)+sqrt...

    Text Solution

    |

  4. Evaluate (sqrt2+1)^(5))-(sqrt2-1)^(5) using binomial theorem.

    Text Solution

    |

  5. In the expansion of (1 + x^(2) )^(8) , find the difference between the...

    Text Solution

    |

  6. Find the coefficients of x^(4) in (1 - x)^(2) (2 + x)^(5) using binomi...

    Text Solution

    |

  7. 3^(2n+2)-8n-9 divisible by 8

    Text Solution

    |

  8. If the term free from x in the expansion of (sqrt(x)-k/(x^2))^(10) is ...

    Text Solution

    |

  9. Find the number of integral terms in the expansion of (5^(1/2)+7^(1/8)...

    Text Solution

    |

  10. Given positive integers r>1,n> 2, n being even and the coefficient of...

    Text Solution

    |

  11. If in any binomial expansion a, b, c and d be the 6th, 7th, 8th and 9t...

    Text Solution

    |

  12. If in the expansion of (1+x)^n the coefficient of three consecutive te...

    Text Solution

    |

  13. Show that 2^(4n+4)-15n-16, where n in N is divisible by 225.

    Text Solution

    |

  14. If the coefficients of three consecutive terms in the expansion of (1 ...

    Text Solution

    |

  15. Show that the coefficient of middle term in the expansion of (1 + x)^(...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |