Home
Class 11
MATHS
If tan^(-1)(a//x)+tan^(-1)(b//x)=pi//2 t...

If `tan^(-1)(a//x)+tan^(-1)(b//x)=pi//2` then x=

A

`ab`

B

`sqrt(ab)`

C

`sqrt(a^(2)+b^(2))`

D

`a^(2)+b^(2)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|37 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    AAKASH SERIES|Exercise EXERCISE I|31 Videos

  • INVERSE TRIGNOMETRIC FUNCTIONS

    AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (LEVEL - II PRACTICE SHEET (ADVANCED) INTEGER TYPE QUESTIONS)|7 Videos

  • INVERSET TRIGONOMETRIC FUNCTIONS

    AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (LEVEL-II PRACTICE SHEET (ADVANCED) INTEGER TYPE QUESTIOS)|5 Videos

Similar Questions

Explore conceptually related problems

If Tan^(-1)(1+x)+Tan^(-1)(1-x)=pi//4 then x =

If tan^(-1)x+tan^(-1)y+tan^(-1)z=(pi)/2 then

If tan^(-1)""(a+x)/a+tan^(-1)""(a-x)/a=pi/6 , then x^(2)=

If tan^(-1)x+tan^(-1)y+tan^(-1)z=pi then x+y+z=

If Tan^(-1)x+Tan^(-1)y+Tan^(-1)z=pi//2 then 1 - xy - yz - zx =

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

If Tan^(-1)2x+Tan^(-1)3x=pi//4 , then x =

If tan^(-1)((x+1)/(x-1))+tan^(-1)((x-1)/x)=pi+tan^(-1)(-7), then x=

Sovle tan^(-1)2x+tan^(-1)3x=(pi)/4

AAKASH SERIES-INVERSE TRIGONOMETRIC FUNCTIONS-EXERCISE-II
  1. cos^(-1)(x//a)+cos^(-1)(y//b)=theta,then (x^(2))/(a^(2))-(2xy)/(ab)cos...

    Text Solution

    |

  2. If "Sec"^(-1)x/a-"Sec"^(-1)x/b="Sec"^(-1)b-Sec^(-1)a then x=

    Text Solution

    |

  3. If tan^(-1)(a//x)+tan^(-1)(b//x)=pi//2 then x=

    Text Solution

    |

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

    Text Solution

    |

  5. If tan^(-1)((x+1)/(x-1))+tan^(-1)((x-1)/x)=pi+tan^(-1)(-7), then x=

    Text Solution

    |

  6. If tan^(-1)(x+1)+tan^(-1)(x-1)="tan"^(-1)8/31 then x=

    Text Solution

    |

  7. If sin^(-1)((2x)/(x^(2)+1))+cos^(-1)((1-x^(2))/(x^(2)+1))=(pi)/3 then ...

    Text Solution

    |

  8. If cot^(-1)((1+x)/(1-x))=1/2cot^(-1)(1/x) then x=

    Text Solution

    |

  9. If cos(sin^(-1)sqrt(13/17))=sin(tan^(-1)x) then x=

    Text Solution

    |

  10. The value of x where x gt0 and tan("sec"^(-1)1/x)=sin(tan^(-1)2) is

    Text Solution

    |

  11. tan((pi)/4+1/2"cos"^(-1)a/b)+tan((pi)/4-1/2"cos"^(-1)a/b)=

    Text Solution

    |

  12. If "Cos"^(-1)x/a+"Cos"^(-1)y/b=(5pi)/12 and "Sin"^(-1)x/a-"Sin"^(-1)y/...

    Text Solution

    |

  13. If Tan^(-1)x+Tan^(-1)y+Tan^(-1)z=(pi)/2 and (x-y)^(2)+(y-z)^(2)+(z-x)^...

    Text Solution

    |

  14. The value of cos^(-1){1/(sqrt(2))("cos"(9pi)/10-"sin"(9pi)/10)} is

    Text Solution

    |

  15. If "Tan"^(-1)1/(1+2x)+"Tan"^(-1)1/(4x+1)" = Tan"^(-1)2/(x^(2)) then x(...

    Text Solution

    |

  16. If :"Tan"^(-1)(2x)/(1-x^(2))+Cot^(-1)((1-x^(2))/(2x))=(pi)/3,xgt0 then

    Text Solution

    |

  17. If Sin^(-1)x+Tan^(-1)x=(pi)/2 then the value of x^(2) is

    Text Solution

    |

  18. 2Cos^(-1)x=Sin^(-1)(2xsqrt(1-x^(2))) is valid for

    Text Solution

    |

  19. Th ascending order of minimum values of functions P: sin^(-1)x-cos^(...

    Text Solution

    |

  20. Match the following:

    Text Solution

    |