Home
Class 12
MATHS
If 3sin^(-1)((2x)/(1+x^2))-4cos^(-1)((1-...

If `3sin^(-1)((2x)/(1+x^2))-4cos^(-1)((1-x^2)/(1+x^2))+2tan^(-1)((2x)/(1-x^2))=pi/3,` then `x` is equal to `1/(sqrt(3))` (b) `-1/(sqrt(3))` (c) `sqrt(3)` (d) - `(sqrt(3))/4`

A

`sqrt3`

B

`1/sqrt3`

C

1

D

`-1`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • INVERSE CIRCULAR FUNCTIONS

    ML KHANNA|Exercise Problem Set (3)(TRUE AND FALSE)|3 Videos
  • INVERSE CIRCULAR FUNCTIONS

    ML KHANNA|Exercise Problem Set (3)(FILL IN THE BLANKS)|4 Videos
  • INVERSE CIRCULAR FUNCTIONS

    ML KHANNA|Exercise Problem Set (2)(FILL IN THE BLANKS)|2 Videos
  • INTEGRATION

    ML KHANNA|Exercise SELF ASSESSMENT TESET|10 Videos
  • LIMITS, CONTINUITY AND DIFFERENTIABILITY

    ML KHANNA|Exercise MISCELLANEOUS EXERCISE (ASSERTION/ REASONS) |3 Videos

Similar Questions

Explore conceptually related problems

If 3\ sin^(-1)((2x)/(1+x^2))-4\ cos^(-1)((1-x^2)/(1+x^2))+2\ tan^(-1)((2x)/(1-x^2))=pi/3 , then x is equal to 1/(sqrt(3)) (b) -1/(sqrt(3)) (c) sqrt(3) (d) -(sqrt(3))/4

If quad 3sin^(-1)((2x)/(1+x^(2)))-4cos^(-1)((1-x^(2))/(1+x^(2)))+2tan^(-1)((2x)/(1-x^(2)))=(pi)/(3) then x is equal to (A)(1)/(sqrt(3))(B)-(1)/(sqrt(3))(C)sqrt(3)(D)-(sqrt(3))/(4)

If quad 3sin^(-1)((2x)/(1+x^(2)))-4cos^(-1)((1-x^(2))/(1+x^(2)))+2tan^(-2)((2x)/(1-x^(2)))=(pi)/(3),where|x|<1 then x is equal to (1)/(sqrt(3))(b)-(1)/(sqrt(3))(c)sqrt(3)(d)-(sqrt(3))/(4)

If cos^-1( (x^2-1)/(x^2+1))+ tan^-1( (2x)/(x^2-1)) = (2pi)/3 , then x equal to (A) sqrt(3) (B) 2+sqrt(3) (C) 2-sqrt(3) (D) -sqrt(3)

If tan^(-1)x+2cot^(-1)x=(2 pi)/(3), then x, is equal to (a) (sqrt(3)-1)/(sqrt(3)+1) (b) 3 (c) sqrt(3)(d)sqrt(2)

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

int_(-1)^((1)/(2))(e^(x)(2-x^(2))dx)/((1-x)sqrt(1-x^(2))) is equal to (sqrt(e))/(2)(sqrt(3)+1) (b) (sqrt(3e))/(2)sqrt(3e)(d)sqrt((e)/(3))

int_(-(1)/(sqrt(3)))^(-(1)/(sqrt(3)))(x^(4))/(1-x^(4))cos^(-1)((2x)/(1+x^(2)))dx

If |cos^(-1)((1-x^(2))/(1+x^(2)))|<(pi)/(3), then x in[-(1)/(3),(1)/(sqrt(3))] (b) x in[-(1)/(sqrt(3)),(1)/(sqrt(3))]x in[0,(1)/(sqrt(3))](d) none of these

3cos^(-1)x=sin^(-1)(sqrt(1-x^(2))(4x^(2)-1))

ML KHANNA-INVERSE CIRCULAR FUNCTIONS -Problem Set (3)(MULTIPLE CHOICE QUESTIONS)
  1. If tan^(-1)""(x-1)/(x-2)+tan^(-1)"" (x+1)/(x+2)=pi/4, " then " x=

    Text Solution

    |

  2. If tan^(-1)"" (x-1)/(x+1)+tan^(-1) ""(2x-1)/(2x+1)=tan^(-1) "" 23/36 ,...

    Text Solution

    |

  3. If 3sin^(-1)((2x)/(1+x^2))-4cos^(-1)((1-x^2)/(1+x^2))+2tan^(-1)((2x)/(...

    Text Solution

    |

  4. If cos^(-1)"" 3/5 - sin^(-1) ""4/5 = cos^(-1) x, " then " x=

    Text Solution

    |

  5. If sin^(-1) ""3/5+sin^(-1)""5/13=sin^(-1)x, " then " x=

    Text Solution

    |

  6. If cot^(-1) x+ sin^(-1)""1/sqrt5 = pi/4 , " then " x=

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  9. sec^(-1)"" x/a-sec^(-1)"" x/b=sec^(-1) b-sec^(-1) a, " then " x=

    Text Solution

    |

  10. If tan^(-1)(a/x) + tan^(-1)(b/x) = pi/2, then: x=……

    Text Solution

    |

  11. If sin^(-1) ((2a)/(1+a^(2)))-cos^(-1)((1-b^(2))/(1+b^(2))) = tan ^(-1)...

    Text Solution

    |

  12. If sin^(-1)"" x/5 + cosec^(-1)"" 5/4 = pi/2 " then " x=

    Text Solution

    |

  13. If cos(2sin^(-1)x)=1/9 , " then " x=

    Text Solution

    |

  14. A solution of the equation tan^(-1)(1+x)+tan^(-1)(1-x)=(pi)/(2) is

    Text Solution

    |

  15. If sin^(-1)(x-x^2/2+x^3/4…..oo)+cos^(-1)(x^2-x^4/2+x^6/4-……oo)=pi/2 th...

    Text Solution

    |

  16. If cos^(-1)x gt sin^(-1) x, then

    Text Solution

    |

  17. If x^2+y^2+z^2=r^2, " then " tan^(-1) ""(xy)/(zr)+tan^(-1) ""(yz)/(xr)...

    Text Solution

    |

  18. If x+y+z=xyz, then tan^(-1)x+tan^(-1)y+tan^(-1)z=

    Text Solution

    |

  19. If xy +yz+zx=1 then tan^(-1)x+tan^(-1)y+tan^(-1)z=

    Text Solution

    |

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

    Text Solution

    |