Home
Class 12
MATHS
If tan^(-1)(sqrt(1+x^(2))-1)/(x)=4 then ...

If `tan^(-1)(sqrt(1+x^(2))-1)/(x)=4` then x equals

A

tan 2

B

tan 4

C

tan 6

D

tan 8

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • MOCK TEST PAPER -II

    MODERN PUBLICATION|Exercise SELECT CORRECT ANSWER|60 Videos
  • MOCK TEST PAPER -IV

    MODERN PUBLICATION|Exercise SELECT THE CORRECT ANSWER|60 Videos

Similar Questions

Explore conceptually related problems

The derivative of tan^(-1) [(sqrt(1 + x^(2)) - 1)/(x)] with respect to tan^(-1) x is

"tan"^(-1)1/(sqrt(x^(2)-1))|x|gt1

If int (sinx)/(sin^(2)x+4cos^(2)x)dx=-(1)/(sqrt(3))tan^(-1)((sqrt(3))/f(x))+c ,then f(x) equals :

The value of differentiation of tan^(-1)x with respect to tan^(-1) ((sqrt(1+ x^(2)) -1)/(x)) is k . Then k//2 is

Write the function tan^(-1)((sqrt(1+x^(2))-1)/x)x ne 0 , in the simplest form.

If y = tan^(-1)((sqrt(1 + x^2)-1)/(x)) , prove that (dx)/(dy) = 1/(2(1 + x^2))

MODERN PUBLICATION-MOCK TEST PAPER -III-SELECT THE CORRECT ANSWER
  1. Let p be the proposition. Mathematics is interesting and let q be the ...

    Text Solution

    |

  2. Value of tan^(-1)1/3+tan ^(-1)1/5+tan^(-1)1/7+tan^(-1)1/8 is

    Text Solution

    |

  3. If tan^(-1)(sqrt(1+x^(2))-1)/(x)=4 then x equals

    Text Solution

    |

  4. The integral solution of tan^(-1)x+tan^(-1)(1)/(y)=tan^(-1)3 is

    Text Solution

    |

  5. If sin^(-1)x+cos^(-1)(1-x)=sin^(-1)(-x)then x satisfies

    Text Solution

    |

  6. The number of values of k for which the system of equations : (k+1)x...

    Text Solution

    |

  7. If alpha,betane0 and f(n)=alpha^(n)+beta^(n) and |(3,1+f(1),1+f(2)),...

    Text Solution

    |

  8. The set of all values of lambda for which the system of linear equatio...

    Text Solution

    |

  9. The inverse of the matrix A=[(2,0,0),(0,3,0),(0,0,4)] is

    Text Solution

    |

  10. If A= {:[(1,2),(0,1)]:} then A^(n) is

    Text Solution

    |

  11. If [(0,1),(1,0)] then A^(2) is equal to

    Text Solution

    |

  12. The function f(x) = [x] where [x] is the greatest integer function is ...

    Text Solution

    |

  13. f(x) = {:{(3x-8,"if"x le 5),(2k," if"x gt 5):}

    Text Solution

    |

  14. If x+y=tan^(-1)y and (d^(2)y)/(dx^(2))=f(y)(dy)/(dx) then f(y)=

    Text Solution

    |

  15. Let f(x) = cos^(-1) [(1)/(sqrt13) (2 cos x - 3 sin x)]. Then f(0.5) =

    Text Solution

    |

  16. If y=(1+x)(1+x^(2))(1+x^(4)), then (dy)/(dx) at x=1 is

    Text Solution

    |

  17. If y = (tan^(-1)x)^(2) then show that (x^(2) + 1)^(2) (d^2 y)/(dx^2) +...

    Text Solution

    |

  18. If the function f(x) defined by f(x)=(x^(100))/(100)+(x^(99))/(99)+....

    Text Solution

    |

  19. The maximum area of rectangle that can be inscribed in a circle of rad...

    Text Solution

    |

  20. A stone is dropped into a quiet lake and waves in circles at the speed...

    Text Solution

    |