Home
Class 12
MATHS
If x > y > z >0, then find the value of ...

If `x > y > z >0,` then find the value of `cot^(-1)(x y+1)/(x-y)+cot^(-1)(y z+1)/(z y-z)+cot^(-1)(z x+1)/(z-x)`

A

`0`

B

`1`

C

`cot^(-1)x+cot^(-1)y+cot^(-1)z`

D

`pi`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • THREE DIMENSIONAL GEOMETRY

    NIKITA PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS|150 Videos

  • VECTOR

    NIKITA PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS|301 Videos

Similar Questions

Explore conceptually related problems

If x>y>z>0, then find the value of cot^(-1)(xy+1)/(x-y)+cot^(-1)(yz+1)/(zy-z)+cot^(-1)(zx+1)/(z-x)

If x gt y gt z gt 0 , then find the value of "cot"^(-1) (xy + 1)/(x - y) + "cot"^(-1)(yz + 1)/(y - z) + "cot"^(-1)(zx + 1)/(z - x)

If x+1/y =1 and y + 1/z =1 then find the value of z + 1/x

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

What is the value of tan(tan^(-1)x + tan^(-1)y + tan^(-1)z)-cot(cot^(-1)x + cot^(-1)y + cot^(-1)z) ?

If x + z = 1 , y + z = 1 , x + y = 4 , then find the value of y

If 2^(x)=3^(y)=6^(-z) find the value of ((1)/(x)+(1)/(y)+(1)/(z))

If x,y,z are distinct real numbers then the value of ((1)/(x-y))^(2)+((1)/(y-z))^(2)+((1)/(z-x))^(2) is

NIKITA PUBLICATION-TRIGONOMETRIC FUNCTIONS-MCQs
  1. If x in (0, 1), then find the value of tan^(-1) ((1 -x^(2))/(2x)) + co...

    Text Solution

    |

  2. Simplify sin(cot^(-1)(cos(tan^(-1)x))),0 ltxlt1.

    Text Solution

    |

  3. If x > y > z >0, then find the value of cot^(-1)(x y+1)/(x-y)+cot^(-1)...

    Text Solution

    |

  4. If sin^(-1) x + sin^(-1) y = (2pi)/3", then " cos^(-1) x + cos^(-1) y

    Text Solution

    |

  5. If sin^(-1)(x/5) + cosec^(-1) (5/4) = pi/2 , then the value of x is

    Text Solution

    |

  6. If sin(sin^(-1)1/5+cos^(-1)x) =1 then x is equal to

    Text Solution

    |

  7. If 4sin^(-1)x+cos^(-1)x=pi, then x is equal to

    Text Solution

    |

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

    Text Solution

    |

  9. For 0le|x|lesqrt(2), if cos^(-1)(x^(2)-(x^(4))/(2)+(x^(6))/(4)-…)+sin^...

    Text Solution

    |

  10. If cos(2sin^(-1)x)=1/9, then find the values of xdot

    Text Solution

    |

  11. IF tan ^(-1) 2x + tan ^(-1) 3x =(pi)/(4) , then x=

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  14. If xge0 and tan^(-1)((1-x)/(1+x))=(1)/(2)tan^(-1)x, then x=

    Text Solution

    |

  15. If tan^(-1). (sqrt((1+x^(2))) - sqrt((1-x^(2))))/(sqrt((1+x^(2)))+sqrt...

    Text Solution

    |

  16. If 2tan^(-1)(cosx)=tan^(-1)(2cosecx), then x=

    Text Solution

    |

  17. If 2tan^(-1)(cosx)=tan^(-1)(2cosecx), then sinx +cosx is equal to

    Text Solution

    |

  18. If cosec^(-1)x=2cot^(-1)7+cos^(-1)((3)/(5)), then x=

    Text Solution

    |

  19. If sin^(-1)(1-x) sin^(-1)x=(pi)/(2) then x equal

    Text Solution

    |

  20. If sin^(-1)(1-x)-2sin^(-1)x=cos^(-1)x, then x=

    Text Solution

    |