Home
Class 12
MATHS
If tan^(-1) 2x + tan^(-1) 3x = (pi)/(4),...

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

A

1

B

`-1`

C

`(1)/(6)`

D

`(1)/(4)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • MODEL TEST PAPER 6

    KCET PREVIOUS YEAR PAPERS|Exercise MATHEMATICS|60 Videos
  • SOLVED PAPER 04

    KCET PREVIOUS YEAR PAPERS|Exercise MATHEMATICS|60 Videos

Similar Questions

Explore conceptually related problems

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

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

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

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

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

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

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

KCET PREVIOUS YEAR PAPERS-MODEL TEST PAPER 9-Mathematics
  1. Let A = [[1,2],[0,1]]. Then A^(n) =

    Text Solution

    |

  2. In a triangle ABC if a = 2, B = 60^(@) and C = 75^(@), then b =

    Text Solution

    |

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

    Text Solution

    |

  4. The general solution of tan 2 theta tan theta = 1 is theta =

    Text Solution

    |

  5. cos^(-1).(2)/(sqrt(5)) + tan^(-1).(1)/(3) =

    Text Solution

    |

  6. (1 + i)^(5) + (1 - i)^(5) =

    Text Solution

    |

  7. The smallest integer n such that ((1 + i)/(1-i))^(n) = 1 is

    Text Solution

    |

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

    Text Solution

    |

  9. The general value of theta which satisfies the equation (cos theta + i...

    Text Solution

    |

  10. The length of the tangent from the point (1, -4) to the circle 2x^(2) ...

    Text Solution

    |

  11. For the circles x^(2) + y^(2) - 2x + 3y + k = 0 and x^(2) + y^(2) + 8x...

    Text Solution

    |

  12. The equation to the parabola with focus (2, 0) and the directrix x + 3...

    Text Solution

    |

  13. If 2y = 5x + k is a tangent to the parabola y^(2) = 6x then k =

    Text Solution

    |

  14. The length of the latus - rectum of the ellipse (x^(2))/(25) + (y^(2))...

    Text Solution

    |

  15. P is any point on the ellipse 9x^(2) + 36y^(2) = 324 whose foci are S ...

    Text Solution

    |

  16. The product of the perpendiculars from the foci on any tangent to the ...

    Text Solution

    |

  17. int(e^(sqrt(x)))/(sqrt(x)) dx =

    Text Solution

    |

  18. underset(0)overset(a)int sqrt(a^(2) - x^(2)) dx =

    Text Solution

    |

  19. int(0)^(pi//2)(dx)/(a^(2)cos^(2)x + b^(2) sin^(2) x) =

    Text Solution

    |

  20. int(0)^(pi//2) log sin x dx =

    Text Solution

    |