Home
Class 11
MATHS
If abs(cos^(-1)((1-x^(2))/(1+x^(2)))) lt...

If `abs(cos^(-1)((1-x^(2))/(1+x^(2)))) lt pi/3`, then

A

`x I [-1/3,1/(sqrt(3))]`

B

`x in (-1/(sqrt(3)),1/(sqrt(3)))`

C

`x in (0,1/(sqrt(3)))`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • INVERSET TRIGONOMETRIC FUNCTIONS

    AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (LEVEL-I (MAIN) SINGLE ANSWER TYPE QUESTIONS)|25 Videos

  • INVERSET TRIGONOMETRIC FUNCTIONS

    AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (LEVEL-II LECTURE SHEET (ADVANCED) SINGLE ANSWER TYPE QUESTIONS)|6 Videos

  • INVERSET TRIGONOMETRIC FUNCTIONS

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE-II LEVEL-II (ADVANCED) INTEGER ANSWER TYPE QUESTIONS)|4 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|37 Videos

  • LIMITS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|143 Videos

Similar Questions

Explore conceptually related problems

If sin^(-1)(sin((2x^(2)+4)/(1+x^(2))))lt pi-3 then x satisfies.

If sin^(-1)((2x)/(x^(2)+1))+cos^(-1)((1-x^(2))/(x^(2)+1))=(pi)/3 then x=

Find (dy)/(dx) in the following : y= cos^(-1) ((1-x^(2))/(1+x^(2))), 0 lt x lt 1 .

If f (x) = Tan ^(-1)((3x-x ^(3))/(1-3x ^(2)),g (x) =Cos^(-1) ((1-x ^(2))/(1 + x ^(2))and 0 lt alpha lt 1/2, then lim _(x to alpha ) (f (x) -f (a))/(g (x)-g (a))

If 1/2tan^(-1)((2x)/(x^(2)-1))+"cos"^(-1)(x^(2)-1)/(x^(2)+1)=(2pi)/3 then x=

IF 3 sin^(-1)((2x)/(1+x^(2)))-4cos^(-1)((1-x^(2))/(1+x^(2)))+ 2tan^(-1)((2x)/(1-x^(2)))=(pi)/3 then x=

Find (dy)/(dx) in the following : y= cos^(-1) ((2x)/(1+x^(2))), -1 lt x lt1 .

Solve 3Sin^(-1)((2x)/(1+x^(2))) - 4 Cos^(-1)((1-x^(2))/(1+x^(2)))+2Tan^(-1)((2x)/(1-x^(2))) = (pi)/3

For -1 lt x lt 1, if f(x)= cos^(2)(tan^(-1)sqrt((1-x)/(1+x))) then f'(x)=

AAKASH SERIES-INVERSET TRIGONOMETRIC FUNCTIONS-PRACTICE SHEET (EXERCISE-II LEVEL-III LEVEL -I (MAIN) SINGLE ANSWER ANSWER TYPE QUESTIONS)
  1. If cos^(-1)x+Cos^(-1)y=(pi)/2 and Tan^(-1)x-Tan^(-1)y=0 then x^(2)+xy+...

    Text Solution

    |

  2. "tan"^(-1)(5/12)+sin^(-1)(24/25)=cos^(-1)(x) implies x=

    Text Solution

    |

  3. The equation 2Cos^(-1)x+Sin^(-1)x=(11pi)/6 has

    Text Solution

    |

  4. If Tan^(-1)x+Tan^(-1)y+Tan^(-1)z=(pi)/2 and (x-y)^(2)+(y-z)^(2)+(z-x)^...

    Text Solution

    |

  5. If x(3-x) ge 2" then "Sin^(-1)(x)+Sin^(-1)(x^(2))+……..+Sin^(-1)(x^(10)...

    Text Solution

    |

  6. If tan^(-1)x+2cot^(-1)x=(2pi)/3, then x is equal to

    Text Solution

    |

  7. The value of x where x gt0 and tan("sec"^(-1)1/x)=sin(tan^(-1)2) is

    Text Solution

    |

  8. Number of solutions of the equation cos^(-1)(1-x)-2cos^(-1)x=pi/2 is

    Text Solution

    |

  9. If "Cos"^(-1)x/a+"Cos"^(-1)y/b=(5pi)/12 and "Sin"^(-1)x/a-"Sin"^(-1)y/...

    Text Solution

    |

  10. If Cos^(-1)x gt Sin^(-1)x, then x belongs to the interval

    Text Solution

    |

  11. The smallest and the largest values of tan^(-1)((1-x)/(1+x)),0lexle1 a...

    Text Solution

    |

  12. For the equation Cos^(-1)x+Cos^(-1)2x+pi=0 the number of real solution...

    Text Solution

    |

  13. The value of a for which ax^(2)+sin^(-1)(x^(2)-2x+2)+cos^(-1)(x^(2)-2x...

    Text Solution

    |

  14. The exhaustive set of values of a for which a-cot^(-1)3x=2tan^(-1)3x+c...

    Text Solution

    |

  15. If abs(cos^(-1)((1-x^(2))/(1+x^(2)))) lt pi/3, then

    Text Solution

    |

  16. If log(2)x ge0 then log(1/(pi))(sin^(-1)((2x)/(1+x^(2)))+2Tan^(-1)x)=l...

    Text Solution

    |

  17. The solution of the inequality (sec^(-1)x)^(2)-6sec^(-1)x+8 gt 0 is

    Text Solution

    |

  18. Complete solution set of tan^(2)(sin^(-1)x) gt 1 is

    Text Solution

    |

  19. For 0 lt theta lt 2 pi sin^(-1)(sin theta)gtcos^(-1)(sin theta) is tru...

    Text Solution

    |

  20. The solution of the inequality log(1//2)sin^(-1)x gt log(1//2)cos^(-1)...

    Text Solution

    |