Home
Class 12
MATHS
Let the co-efficients of x^n In (1+x)^...

Let the co-efficients of `x^n` In `(1+x)^(2n) and (1+x)^(2n-1)` be P & Qrespectively, then `((P+Q)/Q)^5=`

A

9

B

27

C

81

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • DEFINITE INTEGRATION & ITS APPLICATION

    RESONANCE|Exercise High Level Problem|37 Videos
  • EQUATIONS

    RESONANCE|Exercise EXERCISE-2 (PART-II: PREVIOUSLY ASKED QUESTION OF RMO) |7 Videos

Similar Questions

Explore conceptually related problems

If p and q are the coeffcients of x^(n) in (1+x)^(2n) and (1-4x)^(-(1)/(2)),|x|<(1)/(4) then

The co-efficient of x^(n) in (1+x+2x^(2)+3x^(3)+...+nx^(n))^(2) is

In in the expansion of (1+px)^(q) , q belongs to N , the coefficients of x and x^(2) are 12 and 60 respectively then p and q are

The coefficient of x^(p)" in"(1+x)^(p)+(1+x)^(p+1)+…+(1+x)^(n), p lt n , is

In the expansion of (1+x)^(n) the coefficient of p^(th) and (p+1)^(th) terms are respectively p and q.Then p+q=

If ""(n)C_(0), ""(n)C_(1), ""(n)C_(2), ...., ""(n)C_(n), denote the binomial coefficients in the expansion of (1 + x)^(n) and p + q =1 sum_(r=0)^(n) r^(2 " "^n)C_(r) p^(r) q^(n-r) = .

If the coefficient of p^(th) term in the expansion of (1+x)^(n) is p and the coefficient of (p+1)^(th) term is q then n=

if f(x)=lim_(n rarr oo)((1+sin x)^(n)+e^(x))/(1+(1+sin x)^(n)) where x in[-2 pi,2 pi], If p,q denotes number of values of x where f(x) is discontinuous and non-derivable respectively then 'p+q' is equal to

if n is a positive integer,find the co-efficient of x^(n) in the expansion of ((3x-2)^(n))/((1-x)^(2))

RESONANCE-DPP-QUESTION
  1. If m denotes the number of 5 digit numbers if each successive digits a...

    Text Solution

    |

  2. Find the number of 4 digit positive integers if the product of their d...

    Text Solution

    |

  3. Let the co-efficients of x^n In (1+x)^(2n) and (1+x)^(2n-1) be P & ...

    Text Solution

    |

  4. number of distint terms in (x+a)^100+(x-a)^100

    Text Solution

    |

  5. The value of m , for which the coefficients of the (2m+1) th terms in ...

    Text Solution

    |

  6. STATEMENT - 1 : If n is even, .^(2n)C(1)+.^(2n)C(3)+.^(2n)C(5)+"….."+....

    Text Solution

    |

  7. For some natural number N, the number of positive integral 'x' satis...

    Text Solution

    |

  8. Find the sum of the last 30 coefficients in the expansion of (1+x)^(59...

    Text Solution

    |

  9. Coefficient of x^(48) in sum(r=0)^(50)""^(50)C(r).(x-2)^(x).3^(50-r) i...

    Text Solution

    |

  10. Solve the following equations : (i) |x-2| = sqrt(x-4) , (ii) (|x-2|)...

    Text Solution

    |

  11. |x^(2)-4x+4|ge 1

    Text Solution

    |

  12. Solve the following inequation (i) (3)/(x-2) lt 1 , (ii) (2x-1)/(x^(...

    Text Solution

    |

  13. If sum(i=1)^(7) i^(2)x(i) = 1 and sum(i=1)^(7)(i+1)^(2) x(i) = 12 and ...

    Text Solution

    |

  14. Circles with centres P,Q& S are touching each other externally as show...

    Text Solution

    |

  15. The value of (P-Q) is equal to

    Text Solution

    |

  16. The value of (P-R) is equal to

    Text Solution

    |

  17. The value of (Q+R) is equal to

    Text Solution

    |

  18. The sum sum(r=0)^(n) (r+1)C(r)^(2) is equal to :

    Text Solution

    |

  19. In the binomial expansion of (a-b)^nngeq5, the sum of the 5th and 6th ...

    Text Solution

    |

  20. Let P=sum(r=1)^50 (^(50+r)Cr(2r-1))/(^50Cr(50+r)),Q=sum(r=0)^50(^50Cr)...

    Text Solution

    |