Home
Class 12
MATHS
If the third term in expansion of (1+x^(...

If the third term in expansion of `(1+x^(log_2x))^5` is `2560` then `x` is equal to (a) `2sqrt2` (b) `1/8` (c) `1/4` (d) `4sqrt2`

A

`2sqrt(2)`

B

`(1)/(8)`

C

`4sqrt(2)`

D

`(1)/(4)`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

If the third term in expansion of (1+x^(log_(2)x))^(5) is 2560 then x is equal to (1+x^(log_(2)x))^(5) (d) 4sqrt(2)

If the third term in the binomial expansion of (1+x^(log_(2)x))^(5) equals 2560, then a possible value of x is:

The seventh term in the expansion of (4x-(1)/(2sqrt(x)))^(13) is

If log_(4)x+log_(2)x=6, then x is equal to a.2 b.4 c.8 d.16

If the 6 th term in the expansion of ((1)/(x^((8)/(3)))+x^(2)log_(10)x)^(8) is 5600, then x equals 1 b.log_(e)10 c.10 d.x does not exist

If log_(3){5+4log_(3)(x-1)}=2, then x is equal to 4 (b) 3 (c) 8 (d) log_(2)16

The coefficient of x^(9) in expansion of (x^(3)+(1)/(2^(log sqrt2(x^(3)/(2)))))^(11) is equal to

If the term independent of x in the (sqrt(x)-(k)/(x^(2)))^(10) is 405,then k equals 2,-2 b.3,-3 c.4,-4 d.1,-1

CENGAGE-JEE 2019-MCQ
  1. The coefficient of t^4 in ((1-t^6)/(1-t))^3 (a) 18 (b) 12 ...

    Text Solution

    |

  2. If Sigma(i=1)^(20) ((""^(20)C(i-1))/(""^(20)C(i)+""^(20)C(i-1)))^(3)=(...

    Text Solution

    |

  3. If the third term in expansion of (1+x^(log2x))^5 is 2560 then x is eq...

    Text Solution

    |

  4. The positive value of lambda for which the coefficient of x^(2) in the...

    Text Solution

    |

  5. If Sigma(r=0)^(25) (""^(50)C(r)""^(50-r)C(25-r))=K(""^(50)C(25)), th...

    Text Solution

    |

  6. If the middle term of the expansion of (x^3/3+3/x)^8 is 5670 then sum ...

    Text Solution

    |

  7. The value of r for which .^(20)C(r ), .^(20)C(r - 1) .^(20)C(1) + .^...

    Text Solution

    |

  8. Let (x+10)^(50)+(x-10)^(50)=a(0)+a(1)x+a(2)x^(2)+...+a(50)x^(50) for a...

    Text Solution

    |

  9. Let Sn=1+q+q^2 +?+q^n and Tn =1+((q+1)/2)+((q+1)/2)^2+?+((q+1)/2)^n If...

    Text Solution

    |

  10. Ratio of the 5^(th) term from the beginning to the 5^(th) term from th...

    Text Solution

    |

  11. If .^(n)C(4),.^(n)C(5), .^(n)C(6) are in A.P., then find the value of ...

    Text Solution

    |

  12. Number of irrational terms in expansion of (2^(1/5) + 3^(1/10))^60 is

    Text Solution

    |

  13. Two integers are selected at random from the set {1, 2, …, 11}. Given ...

    Text Solution

    |

  14. Let S={1,2,...,20} A subset B of S is said to be "nice", if the sum of...

    Text Solution

    |

  15. In a class of 60 students, 40 opted for NCC, 30 opted for NSS and 20 o...

    Text Solution

    |

  16. In a game, a man wins Rs 100 if he gets 5 or 6 on a throw of a fair di...

    Text Solution

    |

  17. If the Boolean expression (p oplusq)wedge (~p Theta q) is equivalent t...

    Text Solution

    |

  18. The logical statement [~(~pvvq)vv(p^^r)]^^(~q^^r) is equivalent to (a)...

    Text Solution

    |

  19. Given three statements P: 5 is a prime number, Q:7 is a factor of 192,...

    Text Solution

    |

  20. If q is false and (p^^q)harr r is also true then which of the followin...

    Text Solution

    |