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 ENGLISH|Exercise High Level Problem|26 Videos
  • EQUATIONS

    RESONANCE ENGLISH|Exercise EXERCISE-2 (PART-II: PREVIOUSLY ASKED QUESTION OF RMO) |5 Videos

Similar Questions

Explore conceptually related problems

If the constant term in the binomial expansion of (x^2-1/x)^n ,n in N is 15, then find the value of n .

If the constant term in the binomial expansion of (x^2-1/x)^n ,n in N is 15, then find the value of n .

If the middle term in the expansion of (1 + x)^(2n) is (1.3.5…(2n - 1))/(n!) k^(n).x^(n) , the value of k is

If the fourth term in the expansion of (a x+1/x)^n \ is \ 5/2,\ then find the values of a\ a n d\ n .

Show that the middle term in the expansion (x-1/x)^(2n)i s (1. 3. 5 (2n-1))/n(-2)^n .

Show that the middle term in the expansion (x-1/x)^(2n)i s (1. 3. 5 (2n-1))/n(-2)^n .

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

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

If the 5th term is the term independent of x in the expansion of (x^(2//3) + 1/x)^n then n =

The number of terms in the expansion of (x+1/x+1)^n is (A) 2n (B) 2n+1 (C) 2n-1 (D) none of these

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

    Text Solution

    |

  2. If the 6th term in the expansion of(1/(x^(8/3))+x^2(log)(10)x)^8 is 56...

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

    Text Solution

    |

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

    Text Solution

    |

  10. In how many 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 P for the trangle P Q R whose coo...

    Text Solution

    |

  14. The vertices of a triangle are A(x1, x1tantheta1),B(x2, x2tantheta2)a ...

    Text Solution

    |

  15. The sides of a triangle are the straight lines x+y=1,7y=x , and sqrt(3...

    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 P of A is chosen at rand...

    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

    |