Home
Class 14
MATHS
If x and y are positive and xygt1, then ...

If x and y are positive and `xygt1`, then what is `tan^(-1)x+tan^(-1)y` to?

A

`tan^(-1)((x+y)/(1-xy))`

B

`pi+tan^(-1)((x+y)/(1-xy))`

C

`pi-tan^(-1)((x+y)/(1-xy))`

D

`tan^(-1)((x-y)/(1-xy))`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTION

    PUNEET DOGRA|Exercise PREV YEAR QUESTION|35 Videos

  • INTEGRATION

    PUNEET DOGRA|Exercise Prev year questions|48 Videos

  • LIMIT

    PUNEET DOGRA|Exercise PREV YEAR QUESTIONS |43 Videos

Similar Questions

Explore conceptually related problems

If x and y are positive and xy gt 1, then what is tan^(-1)x + tan^(-1)y equal to ?

If x and y are positive integers such that tan^(-1)x+cot^(-1)y=tan^(-1)3 , then:

tan^(-1)x+tan^(-1)y is equal to

If x and y are positive integer satisfying tan^(-1)((1)/(x))+tan^(-1)((1)/(y))=(1)/(7) , then the number of ordered pairs of (x,y) is

If x=2. y=3 , then tan^(-1)x+tan^(-1)y=

If x<0,\ y<0 such that x y=1 , then write the value of tan^(-1)x+tan^(-1)y .

If x + y + z = xyz and x, y, z gt 0 , then find the value of tan^(-1) x + tan^(-1) y + tan^(-1) z

If x and y are positive acute angles such that (x+y) and (x-y) satisfy the equation tan^(2) theta - 4 tan theta +1=0 , then

If k be a positive integer , show that the equation tan^-1 x+tan^-1 y= tan^-1 k has no positive integral solution.

PUNEET DOGRA-INVERSE TRIGONOMETRIC FUNCTION -PREV YEAR QUESTION
  1. x=4tan^(-1)((1)/(5)),y=tan^(-1)((1)/(70)) z=tan^(-1)((1)/(99)) Wha...

    Text Solution

    |

  2. x=4tan^(-1)((1)/(5)),y=tan^(-1)((1)/(70)) z=tan^(-1)((1)/(99)) Wha...

    Text Solution

    |

  3. The number of solution of the equation tan^(-1) (1 + x) + tan^(-1) (1 ...

    Text Solution

    |

  4. What is sin^(-1)""(4)/(5)+sin^(-1)""(3)/(3) equal to ?

    Text Solution

    |

  5. What is sin^(-1)sin((3pi)/(5)) equal to?

    Text Solution

    |

  6. Consider the following statements I. tan^(-1)1+tan^(-1)(0.5)=pi//2 ...

    Text Solution

    |

  7. If x and y are positive and xygt1, then what is tan^(-1)x+tan^(-1)y to...

    Text Solution

    |

  8. What is tan^(-1)((1)/(2))+tan^(-1)((1)/(3)) equal to?

    Text Solution

    |

  9. sin^(-1)((2a)/(1+a^(2)))+sin^(-1)((2b)/(1+b^(2)))=2tan^(-1)x, then x i...

    Text Solution

    |

  10. What is the value of sin^(-1)""(4)/(5)+sec^(-1)""(5)/(4)-(pi)/(2)

    Text Solution

    |

  11. What is the value of sec^(2)tan^(-1)((5)/(11))?

    Text Solution

    |

  12. IF tan^-1 2, tan^-1 3 are two angles of a triangle , then the third an...

    Text Solution

    |

  13. What is the value of cos{cos^(-1)""(4)/(5)+cos^(-1)""(12)/(13)}

    Text Solution

    |

  14. What is the principle value of sec^(-1)((2)/(sqrt3))

    Text Solution

    |

  15. Consider the following statements I. cosec^(-1)(-(2)/(sqrt3))=-(pi)/...

    Text Solution

    |

  16. If sin (sin^(-1).(1)/(5) + cos^(-1) x) = 1, then find the value of x

    Text Solution

    |

  17. What is the value of sin^(-1)""(4)/(5)+2tan^(-1)""(1)/(3)?

    Text Solution

    |

  18. What is the prinicple value of cosec^(-1)(-sqrt2) ?

    Text Solution

    |

  19. If sin^(-1)""(5)/(x)+sin^(-1)""(12)/(x)=(pi)/(2), then what is the val...

    Text Solution

    |

  20. Statement I. If -1lexlt0 then cos(sin^(-1)x)=-sqrt(1-x^(2)) Statemen...

    Text Solution

    |