Home
Class 12
MATHS
Given positive integers r >1,n >2 and th...

Given positive integers `r >1,n >2` and that the coefficient of `(3r d)t ha n d(r+2)t h` terms in the binomial expansion of `(1+x)^(2n)` are equal. Then `n=2r` b. `n=2r+1` c. `n=3r` d. none of these

A

3r

B

`3r-1`

C

`3r+1`

D

2r

Text Solution

Verified by Experts

The correct Answer is:
d
Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM AND MATHEMATICAL INDUCTION

    ML KHANNA|Exercise Problem Set (1) (TRUE AND FALSE)|4 Videos
  • BINOMIAL THEOREM AND MATHEMATICAL INDUCTION

    ML KHANNA|Exercise Problem Set (1) (FILL IN THE BLANKS)|3 Videos
  • AREA OF CURVES

    ML KHANNA|Exercise SELF ASSESSEMENT TEST|16 Videos
  • CO-ORDINATE GEOMETRY OF THREE DIMENSION

    ML KHANNA|Exercise SELF ASSIGNMENT TEST |11 Videos

Similar Questions

Explore conceptually related problems

Given positive integers r gt 1, n gt 2 and that the coefficient of (3rd)th and (r+2)th terms in the binomial expansion of (1+x)^(2n) are equal. Then (a) n=2r (b) n=2r+1 (c) n=3r (d) non of these

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

The ratio of the coefficient of terms (x^(n-r)a^(r) and x^(r)a^(n-r) is the binomial expansion of (x+a)^(n) will be:

If the coefficient of (r +1)^(th) term in the expansion of (1 +x)^(2n) be equal to that of (r + 3)^(th) term , then

in If the coefficient of x^(r) and x^(r+1) are equal in the expansion of (1+x)^(2n+1), then find the value of r.

If the coefficients of a^(r-1),a^(r) and a^(r+1) in the binomial expansion of (1+a)^(n) are in A.P. prove that n^(2)-on(4r+1)+4r^(2)-2=0

If n is an even natural number and coefficient of x^(r) in the expansion of ((1+x)^(n))/(1-x) is 2^(n) then (A) r>((n)/(2))(B)r>=((n-2)/(2))(C)r =n

The value of sum_(r=0)^(n)C_(r)/(^(n)C_(r)+^(n)C_(r+1)) equals a.n+1 b.n/2 c.n+2 d.none of these

ML KHANNA-BINOMIAL THEOREM AND MATHEMATICAL INDUCTION -Self Assessment Test
  1. Given positive integers r >1,n >2 and that the coefficient of (3r d)t ...

    Text Solution

    |

  2. If the coefficient of r^(th) term, (r+4)^(th) term are equal in the ...

    Text Solution

    |

  3. The coefficient of x^(4) in ((x)/(2)-(3)/(x^(2)))^(10) is :

    Text Solution

    |

  4. The coefficient of x^(-7) in the expansion of (ax-(1)/(bx^(2)))^(11) w...

    Text Solution

    |

  5. If the coefficient of x^(7) and x^(8) in (2+(x)/(3))^(n) are equal, th...

    Text Solution

    |

  6. The coefficient of x^(4) in the expansion of (1+x+x^(2)+x^(3))^(n) is

    Text Solution

    |

  7. The greatest coefficient in the expansion of (1+ x)^(2n +1) is

    Text Solution

    |

  8. The position of the term independent of x in the expansion of (sqrt((x...

    Text Solution

    |

  9. In the expansion of (x+(2)/(x^(2)))^(15) , the term independent of x ...

    Text Solution

    |

  10. The term independent of x in the expansion of (x^(2)-(1)/(3x))^(9) is

    Text Solution

    |

  11. If (1+ x)^(n) = C(0) + C(1) x + C(2)x^(2) + ...+ C(n)x^(n) , prove tha...

    Text Solution

    |

  12. If C(0), C(1), C(2),.....,C(n) are binomial coefficients, (where C(r) ...

    Text Solution

    |

  13. If (1+x-2x^2)^6=1+a1x+a2x^(12)++a(12)x^(12), then find the value of a2...

    Text Solution

    |

  14. If (1 + x)^(n) = C(0) + C(1) x + C(2) x^(2) +… + C(n) x^(n) , prove th...

    Text Solution

    |

  15. The coefficient of x^(n) in the expansion of (1-9 x + 20 x^(2))^(-1...

    Text Solution

    |

  16. The number of integer terms in the expansion of (5^(1//2)+7^(1//6))^(...

    Text Solution

    |

  17. Find the coefficient of x^5 in the expansion of (1+x^2)^5dot(1+x)^4i s...

    Text Solution

    |

  18. Consider the expansion of ( 1+ x)^(2n+1) The coefficient of x^(99) ...

    Text Solution

    |

  19. If the coefficient of x^(7) in (ax^(2)+(1)/(bx))^(11) is equal to the ...

    Text Solution

    |

  20. The sum of the coefficeints of the polynominal (1 + x - 3x^(2))^(2163)...

    Text Solution

    |

  21. Sum of coefficients in the expansion of (x+2y+z)^(10) is

    Text Solution

    |