Home
Class 12
MATHS
Find maximum value of term independent o...

Find maximum value of term independent of "t" in `(tx^(1/5) + (1-x)^(1/10)/t )^10 , x in (0,1)`

A

`(10 ! )/( sqrt( 3) ( 5 !)^2)`

B

`(2.10 !)/(3 sqrt(3) (5 ! )^2)`

C

`(2.10!)/(2 (5!)^2)`

D

`(10!)/(3(5!)^2)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • JEE MAIN 2021

    JEE MAINS PREVIOUS YEAR|Exercise SECTION-B|50 Videos
  • JEE MAIN 2021

    JEE MAINS PREVIOUS YEAR|Exercise (SECTION - A)|20 Videos
  • JEE MAIN 2021

    JEE MAINS PREVIOUS YEAR|Exercise Mathematic section B|10 Videos
  • JEE MAIN

    JEE MAINS PREVIOUS YEAR|Exercise QUESTION|1 Videos
  • JEE MAIN 2022

    JEE MAINS PREVIOUS YEAR|Exercise Question|454 Videos

Similar Questions

Explore conceptually related problems

Find term independent of x in (x^(2)+(1)/(x^(2))-2)^(10)

Find the term independent of x in (6x^(2)-(1)/(7x^(3)))^(10)

Find maximum value of x for which independent of x.2tan^(-1)x+cos^(-1)((1-x^(2))/(1-x^(2))) is

If a^(2)+b=2, then maximum value of the term independent of x in the expansion of (ax^((1)/(6))+bx^(-(1)/(3)))^(9) is (a>0;b>0)

Find the term independent of x in the expansion of: (2x-(1)/(x))^(10)

Find the term independent of x in the expansion (2x^2-1/(3x^3))^10

The term independent of x in the expansion of (1 - x)^(2) (x + (1)/(x))^10 , is

The term independent ofx in the expansion of (1+x)^(10)*(1+(1)/(x))^(10) is

Find the term independent of x in the expansion of (3x^(2)-(1)/(2x^(3)))^(10)

JEE MAINS PREVIOUS YEAR-JEE MAIN 2021-SECTION-A
  1. Sum of series 1+2/3+7/3^2+12/3^3 + . . . . . oo

    Text Solution

    |

  2. lim(hrarr0)2((sqrt3Sin(h+pi/6)-Cos(h+pi/6))/(h(sqrt3Cosh-Sinh)))

    Text Solution

    |

  3. Find maximum value of term independent of "t" in (tx^(1/5) + (1-x)^(1/...

    Text Solution

    |

  4. Growth of bacteria is directly proportional to number of bacteria . At...

    Text Solution

    |

  5. If (1,5,35 ),( 7,5,5),( 1, lamda ,7) and ( 2 lamda ,1,2) are coplan...

    Text Solution

    |

  6. Sin^-1x/a=Cos^-1x/b=tan^-1y/c value of cos((pic)/(a+b))

    Text Solution

    |

  7. The number of seven digit integers, with sum of the digits equal to 10...

    Text Solution

    |

  8. Let f be any function defined on R and let it satisfy the condition : ...

    Text Solution

    |

  9. y=1/2x^4-5x^3+18x^2-19x what will be max. value of slope at

    Text Solution

    |

  10. The intersection of three lines x-y=0 ,x +2y =3 and 2x +y=6 ...

    Text Solution

    |

  11. Consider the three planes P1 :3x +15 y +21 z=9, P2 :x - 3y ...

    Text Solution

    |

  12. The value of |((a+1)(a+2),a+2,1),((a+2)(a+3),a+3,1),((a+3)(a+4),a+4,1...

    Text Solution

    |

  13. The value of int(- pi//2) ^(pi//2) ( cos^2 x)/( 1+3^x ) dx is

    Text Solution

    |

  14. Let P(x,y) be a point which is a constant distance from the origin. Th...

    Text Solution

    |

  15. For the statements p and q, consider the following compound statements...

    Text Solution

    |

  16. Let a, b in R. If the mirror image of the point P(a, 6, 9) with respec...

    Text Solution

    |

  17. Equation of plane through (1,0,2) and line of intersection of planes v...

    Text Solution

    |

  18. If P is a point on the parabola y = x^2+ 4 which is closest to the str...

    Text Solution

    |

  19. The angle of elevation of a jet plane from a point A on the ground is...

    Text Solution

    |

  20. If n ge 2 is a positive integer, then the sum of the series ""^(n+1)C...

    Text Solution

    |