Home
Class 12
MATHS
If a(1),a(2),a(3),a(4) are coefficients ...

If `a_(1),a_(2),a_(3),a_(4)` are coefficients of any four consecutive terms in the expansion of `(1+x)^(n)`, then `(a_(1))/(a_(1)+a_(2))+(a_(3))/(a_(3)+a_(4))` equals:

A

`(a_(2))/(a_(2)+a_(3))`

B

`(1)/(2)(a_(2))/(a_(2)+a_(3))`

C

`(2a_(2))/(a_(2)+a_(3))`

D

`(2a_(3))/(a_(2)+a_(3))`

Text Solution

Verified by Experts

The correct Answer is:
C
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

8,A_(1),A_(2),A_(3),24.

If a_(1),a_(2),a_(3)"....." are in GP with first term a and common ratio r, then (a_(1)a_(2))/(a_(1)^(2)-a_(2)^(2))+(a_(2)a_(3))/(a_(2)^(2)-a_(3)^(2))+(a_(3)a_(4))/(a_(3)^(2)-a_(4)^(2))+"....."+(a_(n-1)a_(n))/(a_(n-1)^(2)-a_(n)^(2)) is equal to

If a_(1),a_(2),a_(3),a_(4) and a_(5) are in AP with common difference ne 0, find the value of sum_(i=1)^(5)a_(i) " when " a_(3)=2 .

In a four-dimensional space where unit vectors along the axes are hati,hatj,hatk and hatl, and a_(1),a_(2),a_(3),a_(4) are four non-zero vectors such that no vector can be expressed as a linear combination of other (lamda-1) (a_(1)-a_(2))+mu(a_(2)+a_(3))+gamma(a_(3)+a_(4)-2a_(2))+a_(3)+deltaa_(4)=0 , then

If a_(1) , a_(2) , a_(3),"…………."a_(n) are in A.P., where a_(i) gt 0 for all i, then the value of : (1) /( sqrt(a_(1))+sqrt(a_(2)))+ (1) /( sqrt(a_(2))+sqrt(a_(3)))+"......"+(1) /( sqrt(a_(n-1))+sqrt(a_(n))) is :

If A_(1),A_(2),A_(3),...,A_(n),a_(1),a_(2),a_(3),...a_(n),a,b,c in R show that the roots of the equation (A_(1)^(2))/(x-a_(1))+(A_(2)^(2))/(x-a_(2))+(A_(3)^(2))/(x-a_(3))+…+(A_(n)^(2))/(x-a_(n)) =ab^(2)+c^(2) x+ac are real.

Statement I: If a=2hati+hatk,b=3hatj+4hatk and c=lamda a+mub are coplanar, then c=4a-b . Statement II: A set vector a_(1),a_(2),a_(3), . . ,a_(n) is said to be linearly independent, if every relation of the form l_(1)a_(1)+l_(2)a_(2)+l_(3)a_(3)+ . . .+l_(n)a_(n)=0 implies that l_(1)=l_(2)=l_(3)= . . .=l_(n)=0 (scalar).

If 1, a_(1), a_(2). ..., a_(n-1) are n roots of unity, then the value of (1 - a_(1)) (1 - a_(2)) .... (1 - a_(n-1)) is :

If a_(1),a_(2),a_(3)(a_(1)gt0) are three successive terms of a GP with common ratio r, the value of r for which a_(3)gt4a_(2)-3a_(1) holds is given by

If the ratio of the roots of a_(1)x^(2) + b_(1) x + c_(1) = 0 be equal to the ratio of the roots of a_(2) x^(2) + b_(2)x + c_(2) = 0 , then (a_(1))/(a_(2)) , (b_(1))/(b_(2)) , (c_(1))/(c_(2)) are in :

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

    |