Home
Class 12
MATHS
In the expansion of (3^(-x//4)+3^(5x//4)...

In the expansion of `(3^(-x//4)+3^(5x//4))^(pi)` the sum of binomial coefficient is 64 and term with the greatest binomial coefficient exceeds the third by `(n-1)` , the value of `x` must be `0` b. `1` c. `2` d. `3`

A

Number of proper divisors of `T_(p)` is `5`

B

Number of proper divisors of `T_(p)` is `4`

C

Number of divisors of `P` is `3`

D

Value of `P` is `4`

Text Solution

Verified by Experts

The correct Answer is:
A, C, D
We know that middle term has the greatest binomial coeffcient here `n=6`
So middle form is `((6)/(2)+1)=4^(th)`term
Promotional Banner

Topper's Solved these Questions

  • TEST PAPERS

    RESONANCE|Exercise Math|105 Videos

  • TEST PAPERS

    RESONANCE|Exercise MATHEMATICS|263 Videos

  • TEST PAPERS

    RESONANCE|Exercise PART - I MATHEMATICS SEC - 2|1 Videos

  • TEST PAPER

    RESONANCE|Exercise CHEMISTRY|37 Videos

  • TEST SERIES

    RESONANCE|Exercise MATHEMATICS|131 Videos

Similar Questions

Explore conceptually related problems

In the expansion of (3^(-x/4)+3^(5x/4))^(n) the sum of binomial coefficient is 64 and term with the greatest binomial coefficient exceeds the third by (n-1), the value of x must be 0 b.1 c.2 d.3

In the expansion of (3^(-(x)/(4))+3^((5x)/(4)))^(n) the sum of the binomial coefficients is 256 and four xx the term with greatest binomial coefficient exceeds the square of the third coefficient then find 4x.

In the expansion of (3^(-(x)/(4))+3^((5x)/(4)))^(n), the sum of the binomial coefficients is 256and four xx the term withgreatest binomial coefficient exceeds the square of the third coefficient then find 4x.

In the expansion of (3^(-(x)/(4))+3^((sx)/(4)))^(n),n in N if sum of the binomial coefficients is 64 then n is:

In the expansion of (sqrta+1/sqrt(3a))^n if the ratio ofthe binomial coefficient of the 4th term to thebinomial coefficient of the 3rd term is 10/3 , the 5th term is

Find the 6th term of the expansion (y^(1//2) + x^(1//3))^(n) , if the binomial coefficient of 3rd term from the end is 45.

What is the sum of the binomial coefficients in the expansion of (1+x)^(50)

Find the sum of the coefficient of to middle terms in the binomial expansion of (1+x)^(2n-1)

RESONANCE-TEST PAPERS-PART - I MATHMATICS
  1. Consider a plygon of sides 'n' which satisflies the equation 3. .^(n)p...

    Text Solution

    |

  2. In the expansion of (3^(-x//4)+3^(5x//4))^(pi) the sum of binomial coe...

    Text Solution

    |

  3. In the expansion of (3^(-x//4)+3^(5x//4))^(pi) the sum of binomial coe...

    Text Solution

    |

  4. . Let A be the centre of the circle x^2+y^2-2x-4y-20=0 Suppose that th...

    Text Solution

    |

  5. Lines 5x + 12y - 10 = 0 and 5x - 12y - 40 = 0 touch a circle C1 of dia...

    Text Solution

    |

  6. Circles with radii 3, 4 and 5 touch each other externally. If P is the...

    Text Solution

    |

  7. The extremities of a diagonal of a rectangle are (-4, 4) and (6, -1). ...

    Text Solution

    |

  8. 0.9 + 0.99 + 0.999 + ……. up to 51 terms = 51 - (1)/(p)(1-(1))/(10^(q)...

    Text Solution

    |

  9. If A, B, C are the angles of triangle ABC and tan A, tan B, tan C are ...

    Text Solution

    |

  10. The value of [100(x-1)] is where [x] is the greatest integer less tha...

    Text Solution

    |

  11. The ordinate of a point P on the line 6x + y = 9 which si closest to p...

    Text Solution

    |

  12. . Two opposits vertices of a rectangle are (1, 3) and (5, 1). The othe...

    Text Solution

    |

  13. If (t, t^(2)) falls inside the angle made by the lines y = x//2, x gt ...

    Text Solution

    |

  14. The sides of a triangle have the combined equation x^2-3y^2-2x y+8y-4=...

    Text Solution

    |

  15. If the equation x^(2) - 3x + b = 0 and x^(3) - 4x^(2) + qx = 0, where ...

    Text Solution

    |

  16. Given a triangle ABC with AB= 2 and AC=1. Internal bisector of angleBA...

    Text Solution

    |

  17. Five digit number divisible by 3 is formed using 0 1 2 3 4 6 and 7 wit...

    Text Solution

    |

  18. Third term in expression of (x + x^(log(10)x))^(5) is 10^(6) than poss...

    Text Solution

    |

  19. If (1 + x + x^(2) + x^(3))^(n) = a(0) + a(1)x + a(2)x^(2)+"……….."a(3n)...

    Text Solution

    |

  20. The number of ways in which 20 identical coins be distributed in 4 per...

    Text Solution

    |