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

If `sin^(-1) ((2a)/(1+a^(2)))-cos^(-1)((1-b^(2))/(1+b^(2))) = tan ^(-1) ((2x)/(1-x^(2))),` then : x =

A

0

B

`(a)/(2)`

C

a

D

`(2a)/(1-a^(2))`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC FUNCTIONS

    MARVEL PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS - PART - A : BUILDING-UP THE BASE (B) Properties of triangles|27 Videos

  • TRIGONOMETRIC FUNCTIONS

    MARVEL PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS - PART - B : MASTERING THE BEST|58 Videos

  • TRIGONOMETRIC FUNCTIONS

    MARVEL PUBLICATION|Exercise HARDER SOLVED EXAMPLES|43 Videos

  • THREE DIMENSIONAL GEOMETRY

    MARVEL PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS|39 Videos

  • VECTORS

    MARVEL PUBLICATION|Exercise TEST YOUR GRASP|20 Videos

Similar Questions

Explore conceptually related problems

If sin^(-1)((2a)/(1+a^(2)))-cos^(-1)((1-b^(2))/(1+b^(2)))=tan^(-1)((2x)/(1-x^(2))) , then what os the value of x ?

If sin^(-1)((2a)/(1+a^(2)))-cos^(-1)((1-b^(2))/(1+b^2))=tan^(-1)((2x)/(1-x^(2))) then what is the value of x?

If |a|lt1| b|lt1and|x|lt1 then the solution of sin^(-1)((2a)/(1+a^(2)))-cos^(-1)((1-b^(2))/(1+b^(2)))=tan^(-1)((2x)/(1-x^(2))) is

If sin^(-1)((2a)/(1+a^(2))) + cos^(-1)((1-a^(2))/(1+a^(2)))=tan^(-1)((2x)/(1-x^(2))) , where a, x in]0,1[ , then the value of x is

If sin^(-1)((2x)/(1+x^(2)))+cos^(-1)((1-x^(2))/(1+x^(2)))=4 tan^(-1) x then

If sin^(-1)((2a)/(1+a^(2)))+sin^(-1)((2b)/(1+b^(2)))=2tan^(-1)x

MARVEL PUBLICATION-TRIGONOMETRIC FUNCTIONS-MULTIPLE CHOICE QUESTIONS - PART - A : BUILDING-UP THE BASE
  1. If cos((sin^(-1)2)/5+cos^(-1)x)=0 find the value of xdot

    Text Solution

    |

  2. If tan^(-1) x + tan^(-1) y = (4pi)/(5), then cot^(-1) x + cot^(-1) y ...

    Text Solution

    |

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

    Text Solution

    |

  4. tan((1)/(2).cos^(-1).(2)/(sqrt(5)))=

    Text Solution

    |

  5. If : cos^(-1)x+cos^(-1)y+cos^(-1)z=3pi, " then :" x (y+z)+y(z+x)+z(x+y...

    Text Solution

    |

  6. If y=2 tan ^(-1) x + sin^(-1) ((2x)/(1+x^(2))) " then: " y in

    Text Solution

    |

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

    Text Solution

    |

  8. If y = cot^(-1)(sqrt(tanalpha))-tan^(-1) (sqrt(tanalpha)), " than: " t...

    Text Solution

    |

  9. sin{cot^(-1)[cos(tan^(-1)x)]}=....

    Text Solution

    |

  10. If cos^(-1)sqrt(p)+cos^(-1)sqrt(1-p)+cos^(-1)sqrt(1-q)=(3pi)/(4)"than ...

    Text Solution

    |

  11. If sin^(-1)x-cos^(-1)x=(pi)/(6), " then :" x=

    Text Solution

    |

  12. tan^-1((x+1)/(x-1))+tan^-1((x-1)/x)=tan^-1(-7)

    Text Solution

    |

  13. sec^(2)(tan^(-1)2) +"cosec"^(2)(cot^(-1)3)=

    Text Solution

    |

  14. If sin^(-1)x+cot^(-1)(1/2)=(pi)/(2), " then : " x=

    Text Solution

    |

  15. sin{tan^(-1)[(1-x^(2))/(2x)]+cos^(-1)[(1-x^(2))/(1+x^(2))]}=

    Text Solution

    |

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

    Text Solution

    |

  17. If tan^(-1) 3 +tan^(-1)x=tan^(-1)87 then x =

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |