Home
Class 12
MATHS
If x,y,z are in A.P. and tan^(-1) x , ta...

If `x,y,z` are in A.P. and `tan^(-1) x , tan^(-1) y ` and `tan^(-1) z` are also in A.P. then `:`

A

`x=y=z` or `y ne 1`

B

`x=(1)/(z)`

C

`x=y=z` but their common value is not necessarily zero

D

`x=y=z=0`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|213 Videos
  • QUADRATIC EQUATIONS AND EXPRESSION

    HIMALAYA PUBLICATION|Exercise Question Bank|129 Videos

Similar Questions

Explore conceptually related problems

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

If tan""pi/9,x and tan""(5pi)/18 are in A.P. and tan""pi/9,y and tan""(7pi)/18 are also in A.P., then :

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

If tan ^(-1) x-tan ^(-1) y=-(pi)/(4) then

The integral solution of : tan^(-1) x+ tan^(-1) (1/y)=tan^(-1) 3 is :

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

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

If a,b,c are in G.P and a^((1)/(x))=b^((1)/(y))=c^((1)/(z)) , prove that x,y,z are in A.P.

HIMALAYA PUBLICATION-PROGRESSIONS-QUESTION BANK
  1. If the sum of the first 2n terms of the A.P. 2,5,8,"……….." is equal to...

    Text Solution

    |

  2. An infinite G.P. has first term 'x' and sum '5' , then x belongs to :

    Text Solution

    |

  3. If (a^(n)+b^(n))/(a^(n-1)+b^(n-1)) is an G.M between a and b then the ...

    Text Solution

    |

  4. If the sum of first n terms of an A.P. is cn^(2) , then the sum of squ...

    Text Solution

    |

  5. If (a+b)/(1-a b), b, (b+c)/(1-b c) are in A.P, then a, (1)/(b), c are ...

    Text Solution

    |

  6. If A(1), A(2) be two A.M's and G(1), G(2) be two G.M's between a and b...

    Text Solution

    |

  7. The sum pf 'n' terms of two arithmentic progressions are in the ratio ...

    Text Solution

    |

  8. If x=1+y+y^(2)+.. . to oo, then y is

    Text Solution

    |

  9. If A=1+r^(a)+r^(2 a)+r^(3 a)+.. . to oo and lebrge B=1+r^(b)+r^(2 b)+....

    Text Solution

    |

  10. The determinant : |(a,b,aalpha+b),(b,c,balpha+c),(aalpha+b,balpha+c,...

    Text Solution

    |

  11. If a,b,c are in G.P.L, then the equations ax^(2) + 2bx + c = 0 0 and d...

    Text Solution

    |

  12. Every element of a G.P is positive and also every element is the sum o...

    Text Solution

    |

  13. If x gt 1 , y gt 1 , z gt 1 are in G.P. , then (1)/(1 + log x) , (1)/(...

    Text Solution

    |

  14. age0, then sum(n=1)^(infty)((a)/(a+1))^(n) equals

    Text Solution

    |

  15. If x,y,z are in A.P. and tan^(-1) x , tan^(-1) y and tan^(-1) z are a...

    Text Solution

    |

  16. The sum of three numbers in A.P. is 27 and the sum of their squares is...

    Text Solution

    |

  17. If a,b,c,d and p are distinct non -zero real numbers such that : ( a...

    Text Solution

    |

  18. If A.M of two numbers is twice their G.M, then the ratio of the greate...

    Text Solution

    |

  19. If S(n) = nP + (n (n - 1))/(2) Q where Sn denotes the sum of the first...

    Text Solution

    |

  20. The first and last elements of an A.P are a and l respectively. If S i...

    Text Solution

    |