Home
Class 12
MATHS
If the second term of the expansion [a^(...

If the second term of the expansion `[a^(1/(13))+a/(sqrt(a^(-1)))]^n` is `14 a^(5//2)` , then the value of `(^n C_3)/(^n C_2)` is.

A

4

B

3

C

12

D

6

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 the second term of the expansion [a^((1)/(13))+(a)/(sqrt(a^(-1)))]^(n) is 14a^(5/2), then the value of (^nC_(3))/(^nC_(2)) is.

If the second term in the expansion of (root(13)(a)+ (a)/(sqrt(a^(-1))))^(n) is 14a^(5//2) " then value of " (""^(n)C_(3))/(""^(n)C_(2)) is

If the expansion (2x^(5)+(1)/(3x^(4)))^(n) contains a term independent of x, then the value of n can be ___________

If the fifth term of the expansion (a^(2/3)+a^(-1))^(n) does not contain 'a'. Then n is equal to 2 b.5c.10d .none of these

Show that the middle term in the expansion (x-(1)/(x))^(2n) is (1.3.5..2n-1))/(n)(-2)^(n)

If the 4 th term in the expansion of (ax+1/x)^(n) is 5/2, then a=(1)/(2) b.n=8 c.a=(2)/(3) d.n=6

RESONANCE-DPP-QUESTION
  1. If in triangle A B C ,A-=(1,10), circumcentre -=(-1/3,2/3) and orthoce...

    Text Solution

    |

  2. If the 6th term in the expansion of [1/x^(8/3)+x^2 log10 x]^8 is 5600...

    Text Solution

    |

  3. If the second term of the expansion [a^(1/(13))+a/(sqrt(a^(-1)))]^n is...

    Text Solution

    |

  4. The co-efficient of x in the expansion of (1-2x^3+3x^5)(1+1/x)^8 is:

    Text Solution

    |

  5. If (1!)^(2) + (2!)^(2) + (3!)^(2) + "…….." + (99!)^(2) is divided by 1...

    Text Solution

    |

  6. The coefficients of three consecutive terms of (1+x)^(n+5) are in the ...

    Text Solution

    |

  7. STATEMENT - 1 : The term independent of x in the expansion of (x+1/x+2...

    Text Solution

    |

  8. If roots of the equation x^2-2ax+a^2+a-3=0 are real and less than 3 t...

    Text Solution

    |

  9. A dictionary is made of the words that can be the position of the word...

    Text Solution

    |

  10. In how any ways can 8 different books be distributed among 3 students ...

    Text Solution

    |

  11. Let N be the number of quadratic equations with coefficients from {0, ...

    Text Solution

    |

  12. If the line y = x cuts the curve x^(3) + 3y^(3) - 30xy + 72x - 55 = 0 ...

    Text Solution

    |

  13. The interior angle bisector of angle A for the triangle ABC whose coor...

    Text Solution

    |

  14. The vertices of a triangle are A(x1,x1 tan alpha), B (x2,x2 tan Beta) ...

    Text Solution

    |

  15. The sides of a triangle are the straight lines x +y = 1 , 7y = x and y...

    Text Solution

    |

  16. If S(n) = sum(r=1)^(n) (r )/(1.3.5.7"……"(2r+1)), then

    Text Solution

    |

  17. If (3sqrt(3)+5)^n=p+f. where p is an integer and f is a proper fractio...

    Text Solution

    |

  18. A is a set containing n elements . A subet of A is chosen at random...

    Text Solution

    |

  19. A is a set containing n elements. A subset P of A is chosen. The set A...

    Text Solution

    |

  20. For natural numbers m, n if (1-y)^(m)(1+y)^(n) = 1+a(1)y+a(2)y^(2) + "...

    Text Solution

    |