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

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

B

x=y = - a

C

x=1,y=2,z=3

D

x=2,y=4,z=6

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • SEQUENCES AND SERIES

    MODERN PUBLICATION|Exercise LATEST QUESTIONS|11 Videos
  • SEQUENCES AND SERIES

    MODERN PUBLICATION|Exercise Recent competitive Questions|5 Videos
  • SEQUENCES AND SERIES

    MODERN PUBLICATION|Exercise Recent competitive Questions|5 Videos
  • RELATIONS

    MODERN PUBLICATION|Exercise RCQS|6 Videos
  • SETS

    MODERN PUBLICATION|Exercise Recent Competitive Questions (RCQs)|6 Videos

Similar Questions

Explore conceptually related problems

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 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.

If tan^(-1)x + tan^(-1)y=4pi//5 , then cot^(-1)x + cot^(-1)y is equal to

If a, b, c are in A.P., a, x, b are in G.P., and b, y, c are in G.P., then (x, y) lies on :

MODERN PUBLICATION-SEQUENCES AND SERIES -MCQ ( Level-II)
  1. sum(i=1)^(n) sum(j=1)^(i)sum(k=1)^(j) 1 equals :

    Text Solution

    |

  2. If log(x)a,a^(x//2) and log(b)x are in G.P., then x equals :

    Text Solution

    |

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

    Text Solution

    |

  4. If P,Q,R be the A.M., G.M., H.M. respectively between any two rational...

    Text Solution

    |

  5. Let S = ( 8 ) /( 5) + ( 16)/( 65) +"...." + ( 128)/( 2^(18) + 1) , th...

    Text Solution

    |

  6. The sides a,b,c of Delta ABC are in G.P. , where log a - log 2b, log ...

    Text Solution

    |

  7. Let alpha, beta be the roots of x^(2) -x + p = 0 and gamma , delta b...

    Text Solution

    |

  8. If the sum of the first 2n terms of the A.P. 2,5,8,"……….." is equal to...

    Text Solution

    |

  9. The first term of a G. P. is 1. The sum of the third and fifth terms i...

    Text Solution

    |

  10. Suppose a,b,c are in A.P. and a^(2) , b^(2) , c^(2) are in G.P. If a ...

    Text Solution

    |

  11. If sum of the roots of the quadratic equation ax^(2) + bx+c = 0 is equ...

    Text Solution

    |

  12. If f(x) is a polynomial function of second degree. IF f(1) = f(-1) and...

    Text Solution

    |

  13. The sum of first n terms of the series 1^(2) + 2.2^(2) +3^(2) + 2. 4...

    Text Solution

    |

  14. If s= sum(n=0)^(oo) a^(n) , y = sum(n=0)^(oo) b^(n) , z= sum (n=0)^(oo...

    Text Solution

    |

  15. If alpha, beta are roots of ax^(2) + bx + c =0 , a cancel(=) 0 and alp...

    Text Solution

    |

  16. Let a(1) , a(2) , a(3) , "……………" be terms of an A.P. If (a(1) + a(2) +...

    Text Solution

    |

  17. If a(r ) gt 0, r in N and a(1), a(2) , a(3) ,"……..",a(2n) are in A.P....

    Text Solution

    |

  18. Let x,y,z be three positive prime numbers. The progression in which sq...

    Text Solution

    |

  19. If x = sum(n=0)^(oo) a^(n) .,y=sum(n=0)^(oo) b^(n) , z = sum(n=0)^(oo)...

    Text Solution

    |

  20. underset("n-digits")((666"……"6))^(2) +underset("n-digits") (( 888"…" 8...

    Text Solution

    |