Home
Class 12
MATHS
If the coefficients of r^(th) , (r + 1)...

If the coefficients of `r^(th) , (r + 1)^(th)` and `(r + 2)^(th)` terms in the binomial expansion of `(1 + y)^m` are in A.P. then m and r satisfy the equation

A

`m^2 - m (4r - 1) + 4r^2 + 2 = 0`

B

`m^2 - m(4r + 1) + 4r^2 - 2 = 0`

C

`m^2 -m (4r + 1) + (4r^2 + 2) = 0`

D

`m^2 - m (4r - 1) + 4r^2 - 2 = 0`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM

    AAKASH SERIES|Exercise PRACTICE EXERCISE|95 Videos

  • BINOMIAL THEOREM

    AAKASH SERIES|Exercise EXERCISE - 1.1 (Level - 1) |52 Videos

  • BINOMIAL THEOREM

    AAKASH SERIES|Exercise EXERCISE - I|27 Videos

  • AREAS

    AAKASH SERIES|Exercise Exercise-3.2|21 Videos

  • CIRCLE

    AAKASH SERIES|Exercise EXERCISE -1.4|38 Videos

Similar Questions

Explore conceptually related problems

If the coefficient of r^(th) ,( r +1)^(th) " and " (r +2)^(th) terms in the expansion of (1+x)^n are in A.P then show that n^2 - (4r +1)n + 4r^2 - 2 =0

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+1 )^(th) term in the expansion of (1 + x) ^(42) are equal then r can be

If the coefficients of r^("th"),(r+1)^("th") and (r+2)^("nd") terms in the expansion of (1+x)^(n) are in A.P. then show that n^(2)-(4r+1)n+4r^(2)-2=0.

If the coefficient of rth, (r + 1)th and (r+ 2)th terms in the expansion of (1 + x) ^(n) are respectively in the ratio 2:4:5, then (r,n)=

AAKASH SERIES-BINOMIAL THEOREM-EXERCISE - II
  1. Let n in N . If (1 + x)^n = a0 + a1 x + a2x^2+…. + anx^n and a(n-3), a...

    Text Solution

    |

  2. If the coefficient of rth term and (r+1)th term in the expansion of (...

    Text Solution

    |

  3. If the coefficients of r^(th) , (r + 1)^(th) and (r + 2)^(th) terms i...

    Text Solution

    |

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

    Text Solution

    |

  5. The coefficient of x^n in expansion of (1+x) (1-x)^n is

    Text Solution

    |

  6. The coefficient of x^11 in the expansion of (1- 2x + 3x^2) (1 + x)^11 ...

    Text Solution

    |

  7. The coefficient of x^5 in the expansion of (x^2 - x - 2)^5 is

    Text Solution

    |

  8. The coefficient of x^4 in (1+x+x^2+x^3)^11 is

    Text Solution

    |

  9. Coefficient of x^5 in ( 1+ x)^21 + (1 + x)^22 + …….+ (1 + x)^30 is

    Text Solution

    |

  10. Coefficient of a^8b^6c^4 in (a+b+c)^18 is

    Text Solution

    |

  11. The coefficient of x^9 in (x - 1)(x - 4) ( x- 9) ……. ( x -100) is

    Text Solution

    |

  12. The term in (x + y)^50 which is greatest in absolute value if |x| = sq...

    Text Solution

    |

  13. The greatest integer which divides the number 101^100 - 1 is

    Text Solution

    |

  14. 9^7 + 7^9 is divisible by

    Text Solution

    |

  15. Larger of 99^50+100^50 and 101^50

    Text Solution

    |

  16. The remainder left out when 8^(2n) - 6(2)^( 2n+1) is divided by 9 is

    Text Solution

    |

  17. Integral part of 7 + 4sqrt3)^n is (n in N)

    Text Solution

    |

  18. Integral part of (7 + 5sqrt2)^(2n+1) is (n in N)

    Text Solution

    |

  19. If (6 sqrt6+14)^(2n+1)=R and F=[R], where [R] denotes the greatest int...

    Text Solution

    |

  20. The integral part of (sqrt2+1)^6 is

    Text Solution

    |