Home
Class 12
MATHS
If in the expansion of (1/x+xtanx)^5 th...

If in the expansion of `(1/x+xtanx)^5` the ratio of `4^(th)` term to the `2^(nd)` term is `2/27pi^4`, then value of x can be

Text Solution

Verified by Experts

The correct Answer is:
1
`(T_(4))/(T_(2))=2/27pi^(4)impliesx^(2)tanx=1/(3sqrt(3))pi^(2)`
`implies x=(pi)/3`
Promotional Banner

Topper's Solved these Questions

  • TEST PAPERS

    RESONANCE ENGLISH|Exercise Math|105 Videos

  • TEST PAPER

    RESONANCE ENGLISH|Exercise MATHEMATICS|48 Videos

  • TEST SERIES

    RESONANCE ENGLISH|Exercise MATHEMATICS|132 Videos

Similar Questions

Explore conceptually related problems

In the expansion of (2-3x^3)^(20) , if the ratio of 10^(th) term to 11^(th) term is 45/22 then x=

In the expansion of (x-(3)/(x^(2)))^(30) , find the 5^(th) term.

If in the expansion of (1+x)^(15), the coefficients of (2r+3)^(th) a n d\ (r-1)^(th) terms are equal, then the value of r is a. 5 b. 6 c. 4 d. 3

Find the 2nd term in the expansion of (1+x)^12

In the expansion of (2x^(2)-8) (x-4)^(2) , find the value of constant term

Find the 5th term in the expansion of (1+x^2)^12

In the expansion of (1+x)^n , 7th and 8th terms are equal. Find the value of ( 7/x +6)^2 .

In the expansion of (1+x)^n , 7th and 8th terms are equal. Find the value of (7//x+6)^2 .

Find the 10th term in the expansion of 5^x

If in the expansion of (2^x+1/4^x)^n , T_3/T_2 = 7 and the sum of the co-efficients of 2nd and 3rd terms is 36, then the value of x is

RESONANCE ENGLISH-TEST PAPERS-MATHEMATICS
  1. If the sum of the coefficients in the expansion of (2x+3cx+c^(2)x^(2))...

    Text Solution

    |

  2. The maximum slope of curve y =-x^(3)+3x^(2)+9x-27 is

    Text Solution

    |

  3. If in the expansion of (1/x+xtanx)^5 the ratio of 4^(th) term to the ...

    Text Solution

    |

  4. If n(1)+n(2)+n(3)+n(4)=20 such that n(i)gei+1AAiin{1,2,3,4} and n(i)"n...

    Text Solution

    |

  5. The number of 4 digit numbers that can be made using exactly two digit...

    Text Solution

    |

  6. There are n urns each containing (n+1) balls such that ith urn contain...

    Text Solution

    |

  7. Let N=3^(n(1))+5^(n(2))+9^(n(3)) where n(1),n(2),n(3)epsilon[1,9]. The...

    Text Solution

    |

  8. If ax+b/x >= c for all positive x, where a, b, c > 0, then-

    Text Solution

    |

  9. If f''(x) gt forall in R, f(3)=0 and g(x) =f(tan^(2)x-2tanx+4y)0ltxlt(...

    Text Solution

    |

  10. If y=f((2x-1)/(x^2+1))andf^'(x)=sinx^2, then find (dy)/(dx)

    Text Solution

    |

  11. Let veca=veci-veck,vecb=xveci+vecj+(1-x)veck and vecc=yveci+xvecj+(1+x...

    Text Solution

    |

  12. The projection of hati+hatj+hatk on the whole equation is vecr=(3+lamd...

    Text Solution

    |

  13. A plane meets the coordinate axes at A ,Ba n dC respectively such that...

    Text Solution

    |

  14. For N=50400 the number of divisor of N, which are divisible by 6, divi...

    Text Solution

    |

  15. The correct statements of the following

    Text Solution

    |

  16. A ship is fitted with three engines E1,E2 and E3. The engines function...

    Text Solution

    |

  17. There are n identical red balls & m identical green balls. The number ...

    Text Solution

    |

  18. Let N be the number of ways in which 10 different prizes be given to 5...

    Text Solution

    |

  19. A lot contains 50 defective and 50 non-defective bulbs.Two bulbs are d...

    Text Solution

    |

  20. For any two events A and B in a sample space:

    Text Solution

    |