Home
Class 12
MATHS
The sum of possible values of x for tan^...

The sum of possible values of x for `tan^(-1) ( x + 1) + cot ^(-1) ((1)/( x - 1)) = tan^(-1)((8)/( 31))` is `:`

A

`- ( 31)/( 4)`

B

`- ( 32)/( 4)`

C

`- ( 30)/( 4)`

D

`- ( 33)/( 4)`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • JEE MAIN 2021

    JEE MAINS PREVIOUS YEAR|Exercise MATHEMATICS (SECTION B)|30 Videos

  • JEE MAIN 2021

    JEE MAINS PREVIOUS YEAR|Exercise MATHEMATICS SECTION A|40 Videos

  • JEE MAIN 2021

    JEE MAINS PREVIOUS YEAR|Exercise (SECTION - B)|10 Videos

  • JEE MAIN

    JEE MAINS PREVIOUS YEAR|Exercise QUESTION|1 Videos

  • JEE MAIN 2022

    JEE MAINS PREVIOUS YEAR|Exercise Question|454 Videos

Similar Questions

Explore conceptually related problems

Solve for x tan^(-1)(x-1)=cot^(-1)((4)/(x))

tan^(-1)(cot x)+cot^(-1)(tan x)

Solve for x:tan^(-1)(x+1)+tan^(-1)(x-1)=tan^(-1)((8)/(31))

Solve tan^(-1)(x backslash+1)+tan^(-1)(x:)-1)=tan^(-1)((8)/(31))

Prove that tan^(-1) x + cot^(-1) (x+1) = tan ^(-1) (x^(2) + x+1) .

Prove that : tan^(-1) x + cot^(-1) (1+x) = tan^(-1) (1+x+x^2)

Evaluate cot (tan^(-1) (2x) + cot^(-1) (2x))

Solve: tan ^ (- 1) (x-1) + tan ^ (- 1) x + tan ^ (- 1) (x + 1) = tan ^ (- 1) 3x

Solve tan^(-1) x + cot^(-1) (-|x|) = 2 tan^(-1) 6x

If tan^(-1)(x+1)+ tan^(-1)(x-1)= tan^(-1)(8/31) ,then x is equal to

JEE MAINS PREVIOUS YEAR-JEE MAIN 2021-MATHEMATICS (SECTION A)
  1. The value of 4 + (1)/(5 + (1)/(4+ (1)/(5+ (1)/(4+....oo)))) is

    Text Solution

    |

  2. Area of the triangle formed by the complex number z, iz and z+iz is

    Text Solution

    |

  3. The sum of possible values of x for tan^(-1) ( x + 1) + cot ^(-1) ((1)...

    Text Solution

    |

  4. The equation of the plane which contains the y-axis and passes through...

    Text Solution

    |

  5. The line 2x-y+1=0 is tangent to the circle at the point (2, 5) and the...

    Text Solution

    |

  6. The value of underset( x rarr 0^(+))( lim) (cos^(-1) ( x- [x]^(2) ). s...

    Text Solution

    |

  7. Let f: R -{3} to R-{1} be defined by f(x) =(x-2)/(x-3) Let g: R to R...

    Text Solution

    |

  8. Let f: R to R be a function defined as f(x)={(,(sin (a+1)x+sin 2x)/...

    Text Solution

    |

  9. Let S1 be the sum of first 2n terms of an arithmetic progression. Let ...

    Text Solution

    |

  10. Let in a series of 2n observations, half of them are equal to a and re...

    Text Solution

    |

  11. Let veca and vecb be two non-zero vectors perpendicular to each other ...

    Text Solution

    |

  12. Let a complex number be w=1-sqrt3I, Let another complex number z be su...

    Text Solution

    |

  13. Consider a hyperbola H : x^(2)-2y^(2) =4. Let the tangent at a point P...

    Text Solution

    |

  14. Let g(x)=int(0)^(x) f(t) dt, where f is continuous function in [0,3] s...

    Text Solution

    |

  15. Let the centroid of an equilateral triangle ABC be at the origin. Let...

    Text Solution

    |

  16. In a triangle ABC, if |vec(BC)|=8, |vec(CA)|=7, |vec(AB)|=10, then the...

    Text Solution

    |

  17. Let the system of linear equations 4x+lambda y+2z=0 2x-y+z=0 mux...

    Text Solution

    |

  18. If 15 sin^(4) alpha+10 cos^(4) alpha=6, some alpha in R, then the valu...

    Text Solution

    |

  19. Let a tangent be drawn to the ellipse x^2/(27) +y^2=1" at "(3sqrt3 cos...

    Text Solution

    |

  20. The area bounded by the curve 4y^(2)=x^(2) (4-x) (x-2) is equal to :

    Text Solution

    |