Home
Class 12
MATHS
The solution of tan^(-1)x + 2 cot^(-1)x ...

The solution of `tan^(-1)x + 2 cot^(-1)x = (2pi)/(3)` is

A

`(-1)/(sqrt3)`

B

`(1)/(sqrt 3)`

C

`-sqrt3`

D

`sqrt3`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • KARNATAKA CET 2006

    KCET PREVIOUS YEAR PAPERS|Exercise MATHEMATICS|60 Videos

  • KARNATAKA CET 2008

    KCET PREVIOUS YEAR PAPERS|Exercise MATHEMATICS|60 Videos

Similar Questions

Explore conceptually related problems

Solution of tan ^(-1)(1+x)+tan ^(-1)(1-x)=(pi)/(2) is

Find x, if tan^(-1)4+cot^(-1)x=(pi)/(2) .

Solve : tan^(-1)2x+tan^(-1)3x= (pi)/(4)

Solve tan^(-1)2x+tan^(-1)3x=(pi)/4

cos [ tan^(-1){sin (cot^(-1)x)}] =

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

Prove that tan^(-1)x+cot^(-1)x=(pi)/(2), x in R .

The equation tan^(-1) x-cot^(-1) x =tan^(-1) (1/sqrt3) has :

KCET PREVIOUS YEAR PAPERS-KARNATAKA CET 2007-MATHEMATICS
  1. 1/(2*5)+1/(5*8)+1/(8*11)+............1/((3n-1)(3n+2))=n/((6n+4)) foral...

    Text Solution

    |

  2. The ninth term of the expansion((3x) (-1)/(2x))^(8) is

    Text Solution

    |

  3. The solution of tan^(-1)x + 2 cot^(-1)x = (2pi)/(3) is

    Text Solution

    |

  4. sin^(2)17.5^(@) + sin^(2)72.5^(@) is equal to

    Text Solution

    |

  5. The conjugate of the complex number (1 + i)^(2)/(1-i) is

    Text Solution

    |

  6. ABC is a trianlgle with angle A = 30^(@), BC = 10 cms. The area of the...

    Text Solution

    |

  7. If sin 3theta = sin theta, how many solutions exist such that - 2pi l...

    Text Solution

    |

  8. A graph G has 'm' vertices of odd degree and 'n' vertices of even degr...

    Text Solution

    |

  9. If P is any point on the ellipse (x^(2))/(36) + (y^(2))/(16) = 1 , and...

    Text Solution

    |

  10. The value of sin[(2 cos^(-1))(sqrt5)/(3)] is

    Text Solution

    |

  11. If (x^(2))/(36) - (y^(2))/(k^(2)) = 1 is a hyperbola, then which of th...

    Text Solution

    |

  12. If and B is the inverse of A, then the value of alpha is

    Text Solution

    |

  13. If A={:[(0,x,16),(x,5,7),(0,9,x)]:} is singular, then the possible val...

    Text Solution

    |

  14. If A= [[1 ,-2, 2],[0, 2, -3],[3 ,-2, 4]], then A . adj A=

    Text Solution

    |

  15. If f = R rightarrow R is defined by f(x) = |x|, then,

    Text Solution

    |

  16. The value of {:[(x,p,q),(p,x,q),(p,q,x)]:} is

    Text Solution

    |

  17. The imaginary part of i' is

    Text Solution

    |

  18. The amplitude of (1 + i)^(5) is

    Text Solution

    |

  19. ABC is a triangle.G is the centroid.D is the mid point of BC.If A =(2,...

    Text Solution

    |

  20. lim(x-1)(tan(x^(2)-1))/(x-1) is equal to

    Text Solution

    |