Home
Class 12
MATHS
If sin^(-1) ((4x)/(x^(2) + 4)) + 2 tan^(...

If `sin^(-1) ((4x)/(x^(2) + 4)) + 2 tan^(-1) (-(x)/(2))` is independent of x, find the value of x

A

`-3 le x le 3`

B

`-2 le x le 2`

C

`-1 le x le 1`

D

`0 le x le 1`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRY

    BITSAT GUIDE|Exercise BITSAT Archives|41 Videos
  • THREE DIMENSIONAL GEOMETRY

    BITSAT GUIDE|Exercise BITSAT ARCHIVES |11 Videos
  • VECTOR ALGEBRA

    BITSAT GUIDE|Exercise BITSAT Archives|21 Videos

Similar Questions

Explore conceptually related problems

If sin^(-1)((4x)/(x^(2)+4))+2tan^(-1)(-(x)/(2)) is independent of x, find the values of x.

If 2tan^(-1)x+sin^(-1)((2x)/(1+x^(2))) is independent of x then :

If 2tan^(-1)x+sin^(-1)(2x)/(1+x^(2)) is independent of x then x>1-1

If sin^(-1)(2x)/(1+x^(2))=tan^(-1)(2x)/(1-x^(2)), then find the value of x.

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

If tan^-1 ((x-1)/(x-2)) + tan^-1 ((x+1)/(x+2)) = π/4 then find the value of x.

If tan^(-1)((x-2)/(x-4))+tan^(-1)((x+2)/(x+4))=pi/4 , find the value of x .

If tan^(-1)((x-1)/(x-2))+tan^(-1)((x+1)/(x+2))=(pi)/(4) then find the value of x

If tan^(-1)((x-1)/(x-2))+tan^(-1)((x+1)/(x+2))=(pi)/(4), then find the value of x.

BITSAT GUIDE-TRIGONOMETRY-BITSAT Archives
  1. If sin^(-1) ((4x)/(x^(2) + 4)) + 2 tan^(-1) (-(x)/(2)) is independent ...

    Text Solution

    |

  2. Number of roots of the equation |sinxcosx| +sqrt(2+t a n^2x+cot^2x)=sq...

    Text Solution

    |

  3. The greatest and least values of (sin^(-1)x)^(2) + (cos^(-1)x)^(2) are...

    Text Solution

    |

  4. Find the number of solutions of cos x =|1+ sin x |, 0 le x le 3 pi

    Text Solution

    |

  5. The vaue of the expression sin [cot^(-1){cos (tan^(-1))}] is

    Text Solution

    |

  6. An object is observed from the points A, B and C lying in a horizontal...

    Text Solution

    |

  7. If tan 20^(@) =lamda, then (tan 160^(@) -tan 110^(@))/(1+ (tan 160^(@)...

    Text Solution

    |

  8. The angles of a triangle are in AP and the least angle is 30^(@). What...

    Text Solution

    |

  9. If A+B+C=90^(@)," then "(cot A+ cot B+ cot C)/(cot A cot B cot C) is e...

    Text Solution

    |

  10. In Delta ABC, if a=2, b=3 and sin A =(2)/(3). Then, cos C is equal to

    Text Solution

    |

  11. If 4 sin^(-1) x + cos^(-1) x= pi, then x is equal to

    Text Solution

    |

  12. If tan theta =(1)/(2) and tan phi =(1)/(3), then the value of theta + ...

    Text Solution

    |

  13. If sin theta =(1)/(2) and tan theta =(1)/(sqrt(3)), AA n in l, then mo...

    Text Solution

    |

  14. The function sin x + cos x is maximum, when x is equal to

    Text Solution

    |

  15. Principal value of sin^(-1). (-(sqrt(3))/(2))is

    Text Solution

    |

  16. If angles A,B and C are in AP, then (a+c)/(b) is equal to

    Text Solution

    |

  17. (1+cos.(pi)/(8))(1+cos.(3pi)/(8))(1+cos.(5pi)/(8))(1+cos.(7pi)/(8)) is...

    Text Solution

    |

  18. The solution of the equation sectheta-cosectheta=(4)/(3) is

    Text Solution

    |

  19. What is the minimum value of 9 tan ^(2) theta + 4 cot ^(2) theta ?

    Text Solution

    |

  20. If a le sin^(-1) x+cos^(-1)x+tan^(-1) x le b, then

    Text Solution

    |

  21. If sin^(-1)x+sin^(-1) y=(2pi)/3 and cos^(-1)x-cos^(-1) y= pi/3 ," then...

    Text Solution

    |