Home
Class 12
MATHS
the value of x , for which the 6th term ...

the value of `x` , for which the 6th term in the expansions of`[2^log_2sqrt(9^((x-1)+7))+1/(2^(1/5)(log)_2(3^(r-1)+1))]i s84` , is equal to a. 4 b. 3 c. `2` d. `1`

A

4 or 3

B

3 or 1

C

2 or 1

D

1

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM

    AAKASH INSTITUTE|Exercise Assignment (section-C) Objective type question (More than one correct answer)|15 Videos
  • BINOMIAL THEOREM

    AAKASH INSTITUTE|Exercise Assignment (section-D) Objective type question (Linked Comprehension Type Questions)|11 Videos
  • BINOMIAL THEOREM

    AAKASH INSTITUTE|Exercise Assignment (section-A)|50 Videos
  • APPLICATION OF INTEGRALS

    AAKASH INSTITUTE|Exercise Assignment Section - I Aakash Challengers Questions|2 Videos
  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    AAKASH INSTITUTE|Exercise section-J (Aakash Challengers Qestions)|16 Videos

Similar Questions

Explore conceptually related problems

the value of x, for which the 6th term in the expansions of [2^(log_(2))(sqrt(9^((x-1)+7)))+(1)/(2^((1)/(5))(log)_(2)(3^(x-1)+1))]^(7) is equal to a.4 b.3 c.2 d.1

The value of x for which the sixth term in the expansion of [2^(log)_2sqrt(9^((x-1)+7))+1/(2^1/5(log)_2(3^((x-1)+1)))]^7 is 84 is 4 b. 1or2 c. 0or1 d. 3

For what value of x is the ninth term in the expansion of (3^(log_(3)sqrt(25^(x-1))+7)+3^(-(1)/(8)log_(3)(5^(x-1)+1)))^(10) is equal to 180

A possible value of 'x', for which the ninth term in the expansion of { 3 ^(log _(3) sqrt(25 ^(x - 1) + 7))+ 3 ^(((1)/(8))log_(3) ^((5^(x-1)+1)))}^(10) in the increasing powers of 3^((-(1)/(8))log_(3) ^((5^(x - 1)+1))) is equal to 180 is

The largest value of x for which the fourth tem in the expansion (5((2)/(5))(log)_(5)sqrt(4^(x)+44)+(1)/(5^(log_(5))(2^((x-1)+7))^((1)/(3))))^(8) is 336 is.

AAKASH INSTITUTE-BINOMIAL THEOREM-Assignment (section-B)
  1. Find the term independent of x in the expansion of (1+x+2x^3)[(3x^2//2...

    Text Solution

    |

  2. If in the expansion of (1+x)^m (1-x)^n, the coefficients of x and x^2 ...

    Text Solution

    |

  3. the value of x , for which the 6th term in the expansions of[2^log2sqr...

    Text Solution

    |

  4. If (1-x^(3))^(n)=underset(r=0)overset(n)(sum)a(r)x^(r)(1-x)^(3n-2r), t...

    Text Solution

    |

  5. Let (1+x^2)^2*(1+x)^n=sum(k=0)^(n+4)ak*x^k If a1, a2 and a3 are iun ...

    Text Solution

    |

  6. The coefficient of x^1007 in the expansion (1+x)^(2006)+x(1+x)^(2005)+...

    Text Solution

    |

  7. underset(r=0)overset(n)(sum)(-1)^(r).^(n)C(r)[(1)/(2^(r))+(3^(r))/(2^(...

    Text Solution

    |

  8. In the expansion of (x +a)^(n) the sum of even terms is E and that ...

    Text Solution

    |

  9. The sum of the last eight coefficients in the expansion of (1 + x)^16 ...

    Text Solution

    |

  10. Find the coefficient of x^3y^4z^5 in the expansion of (xy+yz+zx)^6

    Text Solution

    |

  11. In the expansion of (3x+2y-z)^(8), the coefficients of x^(2)y^(3)z^(3)...

    Text Solution

    |

  12. If n is ann integer greater than 1, then a-^(n)C(1)(a-1)+.^(n)C(2)(a...

    Text Solution

    |

  13. (C(0))/(1)+(C(1))/(2)+(C(2))/(3)+ . . . .+(C(100))/(101) equals

    Text Solution

    |

  14. 2C0+2^2/2 C1+2^3/3 C2+.............+2^11/11 C10 =?

    Text Solution

    |

  15. The coefficient of x^(n) in the polynomial (x+""^(2n+1)C(0))(X+""^(2n+...

    Text Solution

    |

  16. If C(r) stands for .^(n)C(r)=(n!)/(r!n-r!) and underset(r=1)overset(n)...

    Text Solution

    |

  17. If k=underset(r=0)overset(n)(sum)(1)/(.^(n)C(r)), then underset(r=0)ov...

    Text Solution

    |

  18. if x+y=1, then underset(r=0)overset(n)(sum)r^(2).^(n)C(r)x^(r)y^(n-r) ...

    Text Solution

    |

  19. underset(r=1)overset(n)(sum)r(.^(n)C(r)-.^(n)C(r-1)) is equal to

    Text Solution

    |

  20. The expression ""^(n)C(r)+4.""^(n)C(r-1)+6.""^(n)C(r-2)+4.""^(n)C(r-...

    Text Solution

    |