Home
Class 12
MATHS
If tan^(-1)((1-x)/(1+x))=1/2tan^(-1)x,xg...

If `tan^(-1)((1-x)/(1+x))=1/2tan^(-1)x,xgt0` find x

A

1

B

`1/(sqrt(3))`

C

`sqrt(3)`

D

`-1`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • KARNATAKA CET 2014

    KCET PREVIOUS YEAR PAPERS|Exercise MATHEMATICS|60 Videos

  • KARNATAKA CET 2017

    KCET PREVIOUS YEAR PAPERS|Exercise MATHEMATICS|60 Videos

Similar Questions

Explore conceptually related problems

Solve for x tan^(-1) ((1-x)/(1+x))=(1)/(2) tan^(-1)x, x gt 0

tan^(-1)((x)/(y))-tan^(-1)((x-y)/(x+y)) is

If tan^(-1)((x-1)/(x-2)) + tan^(-1)((x+1)/(x+2)) = pi/4 , then find the value x.

If tan^(-1)3+tan^(-1)x=tan^(-1)8 , then x=

If y = tan^(-1) ((1)/(1 + x + x^(2))) + tan^(-1) ((1) /(x^(2) + 2x + 3)) + tan^(-1) ((1)/(x^(2) + 5x + 7)) + ….n terms , then y(0) is

The value of x where x gt 0 and tan (sec ^(-1)((1)/(x)))=sin (tan ^(-1) 2) Is

KCET PREVIOUS YEAR PAPERS-KARNATAKA CET 2015-MATHEMATICS
  1. inte^(x)((1+sinx)/(1+cosx))dx=

    Text Solution

    |

  2. If 1,omega,omega^(2) are three cube roots of unity, then (1-omega+omeg...

    Text Solution

    |

  3. If tan^(-1)((1-x)/(1+x))=1/2tan^(-1)x,xgt0 find x

    Text Solution

    |

  4. The system of linear equations x+y+z = 6, x+2y+3z = 10 and x + 2y +az ...

    Text Solution

    |

  5. The value of tan(1^(@)) +tan(89^(@)) is .

    Text Solution

    |

  6. If ((x+1)^(2))/(x^(3)+x)=A/x +(Bx+C)/(x^(2)+1) then "cosec"^(-1) (1/A...

    Text Solution

    |

  7. The remainder obtained when 1 ! +2 ! +3 ! +….+11! is divided by 12 is

    Text Solution

    |

  8. If alpha lt 2 sin^(-1) x +cos^(-1)x le beta , then

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  11. If y = log((1-x^(2))/(1+x^(2))), then (dy)/(dx) is equal to

    Text Solution

    |

  12. The two curves x^(3) - 3xy^(2) +2 = 0 and 3x^(2)y-y^(3) = 2

    Text Solution

    |

  13. If x is real, the minimum value of x^(2)-8x+17 is :

    Text Solution

    |

  14. int(-pi//4)^(pi//4)(dx)/(1+cos 2x) is equal to

    Text Solution

    |

  15. The order of differential equation of all circles of given radius "...

    Text Solution

    |

  16. Find the general solution of the differential equation x (dy)/(dx)+2y=...

    Text Solution

    |

  17. If sinx + sin y=(1)/(2) and cos x+cos y=1, then tan (x+y)=

    Text Solution

    |

  18. If A = [(alpha,2),(2,alpha)]and A^(3)=27 then alpha =

    Text Solution

    |

  19. If P = |(x,1),(1,x)|and Q = |(x,1,1),(1,x,1),(1,1,x)| then (dQ)/(dx) =

    Text Solution

    |

  20. A line passes through (2,2) and is perpendicular to the line 3x+y=3 ...

    Text Solution

    |