Home
Class 12
MATHS
The coefficient of the middle term in th...

The coefficient of the middle term in the binomial expansion in powers of `x` of`(1+alphax)^4` and of`(1-alphax)^6` is the same, if `alpha` equals `-5/3` b. `(10)/3` c. `-3/(10)` d. `3/5`

A

`-5/3`

B

`10/3`

C

`-3/10`

D

`3/5`

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

The coefficient of the middle term in the binomial expansion in powers of x of (1+alpha x)^(4) and of (1-alpha x)^(6) is the same,if alpha equals -(5)/(3) b.(10)/(3) c.-(3)/(10) d.(3)/(5)

the coefficient of the middle term in the binomial expansion , in power of x, of (1 + ax)^(4) and of ( 1 + ax)^(6) is same, of a equal .

What is the coefficient of the middle term in the binomial expansion of (2+3x)^(4) ?

Write the coefficient of the middle term in the expansion of {(x+y^(3))^(3)}^(7)

Coefficient of the middle term in the expansion of the binomial (1+x)^(40) is equal to

Find the value of alpha for hich the coefficients of the middle terms in the expansions of (1+alpha x)^(4) and (1+alpha x)^(6) are equal,find alpha

RESONANCE-DPP-QUESTION
  1. If sqrt(1+1/(1^2)+1/(2^2))+sqrt(1+1/(2^2)+1/(3^2))+sqrt(1+1/(3^2)+1/(4...

    Text Solution

    |

  2. In the expansion of (7^(1/3)+ 11^(1/9))^6561, the number of terms free...

    Text Solution

    |

  3. The coefficient of the middle term in the binomial expansion in powers...

    Text Solution

    |

  4. In the coefficients of rth, (r+1)t h ,a n d(r+2)t h terms in the binom...

    Text Solution

    |

  5. Prove that difference of squares of two distinct odd natural numbers i...

    Text Solution

    |

  6. If Pa n dQ are sum and product respectively of all real values of x sa...

    Text Solution

    |

  7. The set of all values of ' x ' which satisfies the inequation |1-(|x|)...

    Text Solution

    |

  8. Find the solution of the inequality 2log(1/4)(x+5)>9/4log(1/(3sqrt(3))...

    Text Solution

    |

  9. The simultaneous equations, y=x+2|x|& y=4+x-|x| have the solution set ...

    Text Solution

    |

  10. The number of times the digit 3 will be written when listing the in...

    Text Solution

    |

  11. If m denotes the number of 5 digit numbers if each successive digits a...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |