Home
Class 12
MATHS
If x,y>0, then the range of sin^(-1)(...

If `x,y>0`, then the range of `sin^(-1)(x/(1+x^2))+sin^(-1)((2y)/(1+y^2))` is `(0,(2pi)/3]`

A

`[0,pi]`

B

`(-pi,pi)`

C

`[0,2pi//3]`

D

`(0, 2pi //3]`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • MATHEMATICS

    FIITJEE|Exercise ASSERTION REASONING|8 Videos

  • MATHEMATICS

    FIITJEE|Exercise MCQ (MULTIPLE CORRECT)|30 Videos

  • MATHEMATICS

    FIITJEE|Exercise ASSIGNMENT (SECTION(I) MCQ(SINGLE CORRECT)|130 Videos

  • MATHEMATICAL REASONING

    FIITJEE|Exercise ASSIGNMENT PROBLEMS (OBJECTIVE) LEVEL-2|18 Videos

  • MATHEMATICS TIPS

    FIITJEE|Exercise NUMERICAL DECIMAL BASED QUESTIONS|21 Videos

Similar Questions

Explore conceptually related problems

If x,y>0, then the range of sin^(-1)((x)/(1+x^(2)))+sin^(-1)((2y)/(1+y^(2))) is (0,(2 pi)/(3)]

If sin^(-1)x +cos^(-1)y +sin^(-1)z=2pi then 2x-z+y is :

What are the values of (x, y) satisfying the simultaneous equation sin^(-1)x + sin^(-1)y=(2pi)/(3)and cos^(-1)x - cos^(-1)y=(pi)/(3) ?

If y=1/2sin^(- 1)((2x y)/(x^2+y^2))andyltxlim_(y-gt0)x=

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

If sin^(-1)x+sin^(-1)y=(2 pi)/(3) ,then the value of cos^(-1)x+cos^(-1)y is (A) (2 pi)/(3) (B) (pi)/(3) (C) (pi)/(2) (D) pi

What are the values of (x,y) satisfying the simultaneous equations sin^(-1)x+sin^(-1)y=(2pi)/(3) and cos^(-1)x-cos^(-1)y=(pi)/(3) ?

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

if y=(1)/(2)sin^(-1)((2xy)/(x^(2)+y^(2))) and y

FIITJEE-MATHEMATICS -OBJECTIVE
  1. Let P(a sec theta , b tan theta ) and Q(a sec phi , b tan phi) where ...

    Text Solution

    |

  2. If (sqrt2 cos x + sqrt2 sin x + sqrt7) m =1 holds then

    Text Solution

    |

  3. If x,y>0, then the range of sin^(-1)(x/(1+x^2))+sin^(-1)((2y)/(1+y^...

    Text Solution

    |

  4. The equatin 2x = (2n +1)pi (1 - cos x) , (where n is a positive intege...

    Text Solution

    |

  5. A triangle is inscribed in a circle. The vertices of the triangle divi...

    Text Solution

    |

  6. The feet of the normals to (x^(2))/(a^(2)) -(y^(2))/(b^(2)) =1 from (h...

    Text Solution

    |

  7. If sin x + cosec x + tan y + cot y =4 where x and y in [ 0 (pi)/(2)], ...

    Text Solution

    |

  8. The number of integral values of k for which the equation 7 cos x + 5 ...

    Text Solution

    |

  9. The vlaues of k for which the circles x ^(2) + y ^(2) =1 and x ^(2) + ...

    Text Solution

    |

  10. Consider a triange ABC, where B and C are (-a,0) and (a,0) respectivel...

    Text Solution

    |

  11. If sinx,cosx,tanxare in G.P., then cot^6x-cot^2x= (A) 0 (B) -1 (C) 1 (...

    Text Solution

    |

  12. The triangle formed by the tangent to the parabola y=x^(2) at the poin...

    Text Solution

    |

  13. The number of all the possible triplets (a1,a2,a3) such that a1+a2cos(...

    Text Solution

    |

  14. The value of lamda for which the equation (10 x -5) ^(2) + (10y-15) ^...

    Text Solution

    |

  15. From any point P on the parabola y^(2)=4ax, perpebdicular PN is drawn ...

    Text Solution

    |

  16. If sin x (1)+ sin x(2) + sin x (3) +…+ sin x (n) is

    Text Solution

    |

  17. Two paralel straight lines indined at an angle theta to x-axis where (...

    Text Solution

    |

  18. Let the equation of circle is x ^(2) + y ^(2) - 6x + 4y + 12=0. Then ...

    Text Solution

    |

  19. If a and b be the segments of a focal chord and 4c be the latus rectum...

    Text Solution

    |

  20. sum (k =1) ^(89) log (e) tan ((pik)/(180)) is equal to

    Text Solution

    |