Home
Class 12
MATHS
If the coefficient of rth, (r+1)th and (...

If the coefficient of rth, (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:
D
Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM

    MODERN PUBLICATION|Exercise LATEST QUESTION FROM AIEEE/JEE EXAMINATIONS|6 Videos

  • BINOMIAL THEOREM

    MODERN PUBLICATION|Exercise RCQ.s Recent Competitive Questions (Questions from Karnataka CET & Comed|6 Videos

  • BINOMIAL THEOREM

    MODERN PUBLICATION|Exercise RCQ.s Recent Competitive Questions (Questions from Karnataka CET & Comed|6 Videos

  • AREA UNDER CURVES

    MODERN PUBLICATION|Exercise Recent Competitive Questions (Question from karnataka CET & COMED)|9 Videos

  • CARTESIAN SYSTEM OF RECTANGULAR CO-ORDINATES AND STRAIGHT LINES

    MODERN PUBLICATION|Exercise Recent Competitive Questions (Questions from Karnataka CET & COMED)|8 Videos

Similar Questions

Explore conceptually related problems

If the coefficients of r^(th) , (r+1)^(t h) and (r+2)^(th ) terms in the expansion of (1+x)^(14) are in A.P, then the value of r is

If the coefficients of second, third and fourth terms in the expansion of (1+x)^(2 n) are in A.P, then,

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^(th) and (r+1)^(th) term in the expansion of (1+x)^(n) are equal then n=

If the coefficients of 2nd, 3rd and 4th terms in the expansion of (1+x)^(n) are in A.P., then the value of n is:

The coefficients of (2 r+4)^(th) and (r-2)^(th) terms in the expansion of (1+x)^(18) are equal. Then the value of r=

If the coefficients of r^(th) and (r+1)^(th) terms in the expansion of (3+7 x)^(29) are equal, the r is equal to

If r^(th) and (r+1)^(th) term in the expansion of (1+x)^(n) are equal, then n =

If the coefficient of the r^(th) term and the (r+1)^ (th) term is the expansion of (1+x)^(20) are in the ratio 1: 2 then r =

The coeffcients of the (r-1)^th , r^th and (r+1)^th terms in the expansion of (x+1)^n are in the ration 1 : 3: 5 Find n and r.

MODERN PUBLICATION-BINOMIAL THEOREM-MCQ.s (LEVEL-II)
  1. Find the coefficient of x^(6) y^(3) in the expansion of ( x+ 2y ) ^(...

    Text Solution

    |

  2. If C(r) stands for ""^(n)C(r) and sum(r=1)^(n)(r*C(r))/(C(r-1))=210, t...

    Text Solution

    |

  3. For a positive integer n, let a(n)=1+(1)/(2)+(1)/(3)+(1)/(4)+ . . .+...

    Text Solution

    |

  4. In the binomial expansion of (a-b)^(n),nge5, the sum of the 5th and 6t...

    Text Solution

    |

  5. The value of ((30),(0))((30),(10))+((30),(1))((30),(11))+((30),(2))(...

    Text Solution

    |

  6. For natural number m, n if (1-y)^(m)(1+y)^(n)=1+a(1)y+a(2)y^(2)+ . . ....

    Text Solution

    |

  7. In the binomial expansion of (a-b)^(n),nge5, the sum of 5th and 6th te...

    Text Solution

    |

  8. If a(1),a(2),a(3),a(4) are coefficients of any four consecutive terms ...

    Text Solution

    |

  9. If n is a positive integer and C(k)=""^(n)C(k), then the value of sum(...

    Text Solution

    |

  10. If (1+x)^(n)=1+C(1)x+C(2)x^(2)+ . . .+C(n)x^(n), then: C(1)^(2)-2C(2)^...

    Text Solution

    |

  11. Let n be an odd integer. If sin n theta=sum(r=0)^(n)b(r) sin^(r)theta ...

    Text Solution

    |

  12. The coefficient of x^(50) in the expression: (1+x)^(1000)+2x(1+x)^(9...

    Text Solution

    |

  13. The last term in the binomial expression of (root(3)(2)-(1)/(sqrt(2)))...

    Text Solution

    |

  14. Let n in N. If (1+x)^(n)=a(0)+a(1)x+a(x)x^(2)+ . . . .+a(n) x^(n) and ...

    Text Solution

    |

  15. If the coefficient of rth, (r+1)th and (r+2)th terms in the binomial e...

    Text Solution

    |

  16. If the coefficient of x^(7) in [ax^(2)+((1)/(bx))]^(11) equals the coe...

    Text Solution

    |

  17. If x is so small that x^(3) and higher powers of x may be neglected, t...

    Text Solution

    |

  18. If the expansion in powers of x of the function (1)/((1-ax)(1-bx)) is ...

    Text Solution

    |

  19. The sum of series: ""^(20)C(0)-""^(20)C(1)+""^(20)C(2)-""^(20)C(3)+ ...

    Text Solution

    |

  20. The remainder left out when 8^(2n)-(62)^(2n+1) is divided by 9 is

    Text Solution

    |