Home
Class 12
MATHS
"Tan"^(-1)(yz)/(xsqrt(x^(2)+y^(2)+z^(2))...

`"Tan"^(-1)(yz)/(xsqrt(x^(2)+y^(2)+z^(2)))+"Tan"^(-1)(zx)/(ysqrt(x^(2)+y^(2)+z^(2)))+"Tan"^(-1)(xy)/(zsqrt(x^(2)+y^(2)+z^(2)))=`

A

`pi`

B

`pi//2`

C

`pi//3`

D

`pi//4`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) (SET - 1)|6 Videos
  • INVERSE TRIGONOMETRIC FUNCTIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) (SET - 2)|3 Videos
  • INVERSE TRIGONOMETRIC FUNCTIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) (SET - 4)|5 Videos
  • INDEFINITE INTEGRATION

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SET-4)|4 Videos
  • LIMITS AND CONTINUITY

    DIPTI PUBLICATION ( AP EAMET)|Exercise Set -4|8 Videos

Similar Questions

Explore conceptually related problems

Sin^(-1)(xsqrt(1-y^(2))+ysqrt(1-x^(2)))=

If x^(2)+y^(2)+z^(2)=r^(2) , then Tan^(-1)((xy)/(zr))+Tan^(-1)((yz)/(xr))+Tan^(-1)((xz)/(yr))=

If Tan^(-1)x+Tan^(-1)y+Tan^(-1)z=(pi)/2 and (x-y)^(2)+(y-z)^(2)+(z-x)^(2)=0 then x^(2)+y^(2)+z^(2)=

y = "tan"^(-1)((sqrt(1 + a^2x^2 ) - 1)/(ax)) implies (1 + a^2x^2)y^('') + 2a^2 xy^' =

If sin^(-1)x +sin^(-1)y+sin^(-1)z=pi then x^(4)+y^(4)+z^(4)+4x^(2)y^(2)z^(2)=

If cos^(-1)x+Cos^(-1)y=(pi)/2 and Tan^(-1)x-Tan^(-1)y=0 then x^(2)+xy+y^(2)=

DIPTI PUBLICATION ( AP EAMET)-INVERSE TRIGONOMETRIC FUNCTIONS-EXERCISE 1
  1. Id a,b,c are distinct non-zero real numbers having the same sign. Prov...

    Text Solution

    |

  2. If a,b,c, are positive then tan^(-1)sqrt((a(a+b+c))/(bc))+tan^(-1)sq...

    Text Solution

    |

  3. "Tan"^(-1)(yz)/(xsqrt(x^(2)+y^(2)+z^(2)))+"Tan"^(-1)(zx)/(ysqrt(x^(2)+...

    Text Solution

    |

  4. "Tan"^(-1)(c(1)x-y)/(c(1)y+x)+"Tan"^(-1)(c(2)-c(1))/(1+c(2)c(1))+"Tan"...

    Text Solution

    |

  5. If "Tan"^(-1)1/(1+2)+"Tan"^(-1)1/(1+(2)(3))+"Tan"^(-1)1/(1+(3)(4))+......

    Text Solution

    |

  6. If a(1),a(2),a(3),....,a(n) is an A.P. with common difference d, then ...

    Text Solution

    |

  7. If x^(2)+y^(2)+z^(2)=r^(2), then Tan^(-1)((xy)/(zr))+Tan^(-1)((yz)/(xr...

    Text Solution

    |

  8. If u=tan^(-1)(1/(sqrt(cos 2 theta)))-tan^(-1)(sqrt(cos 2 theta)), then...

    Text Solution

    |

  9. If 0lexle1/2, then Sin^(-1)x+Sin^(-1)(x/2-sqrt(3-3x^(2))/2)=

    Text Solution

    |

  10. If 1/2lexle1 then Cos^(-1)x+Cos^(-1)(x/2-sqrt(3-3x^(2))/2)=

    Text Solution

    |

  11. If y is infinite and tan^(-1)y=4tan^(-1)x then

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  14. If Cos^(-1)x+Cos^(-1)y+Cos^(-1)z=pi,"then "x^(2)+y^(2)+z^(2)+2xyz=

    Text Solution

    |

  15. If Sin^(-1)x+Sin^(-1)y+Sin^(-1)z=pi//2,"then "x^(2)+y^(2)+z^(2)+2xyz=

    Text Solution

    |

  16. If Sin^(-1)x+Sin^(-1)y+Sin^(-1)z=pi then prove that n xsqrt(1-x^(2))+y...

    Text Solution

    |

  17. If Sec^(-1)sqrt(1-x^(2))+Cosec^(-1)(sqrt(1+y^(2)))/y+"Cot"^(-1)1/z=3pi...

    Text Solution

    |

  18. If Cos^(-1)(x/a)+Cos^(-1)(y/b)=theta,"then "x^(2)/a^(2)-(2xy)/(ab)cost...

    Text Solution

    |

  19. If Cos^(-1)(x//2)+Cos^(-1)(y//3)=theta" then "9x^(2)-12xycostheta+4y^(...

    Text Solution

    |

  20. If Sin^(-1)x+Sin^(-1)y=2pi//3,"then "Cos^(-1)x+Cos^(-1)y=

    Text Solution

    |