Home
Class 12
MATHS
sin ^(-1) (5)/(x)+sin ^(-1) (12)/(x)=(pi...

`sin ^(-1) (5)/(x)+sin ^(-1) (12)/(x)=(pi)/(2)` then `x=`

A

10

B

12

C

13

D

14

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • INDEFINITE INTEGRAL

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|404 Videos
  • LIMITS, CONTINUITY AND DIFFERENTIABILITY

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|354 Videos

Similar Questions

Explore conceptually related problems

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

If cos ^(-1) x+sin ^(-1) (x)/(2)=(pi)/(6) then x=

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

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

If sin ^(-1) (1)/(3)+sin ^(-1) (2)/(3)=sin ^(-1) x, then the value of x=

sin ^(-1) x=(pi)/(5) , then cos ^(-1) x=

HIMALAYA PUBLICATION-INVERSE TRIGONOMETRIC FUNCTIONS-QUESTION BANK
  1. If 2 tan ^(-1) (1)/(2)+sin ^(-1) x=(pi)/(2) then x=

    Text Solution

    |

  2. The only integer (s) satisfying sin ^(-1) x+sin ^(-1)(1-x)=cos ^(-1) x

    Text Solution

    |

  3. sin ^(-1) (5)/(x)+sin ^(-1) (12)/(x)=(pi)/(2) then x=

    Text Solution

    |

  4. If cos^(-1) x = cot^(-1) ""4/3 + tan^(-1)""1/7, the x =

    Text Solution

    |

  5. If 3 tan ^(-1)((1)/(2+sqrt(3)))-tan ^(-1) (1)/(x)=tan ^(-1) (1)/(3) th...

    Text Solution

    |

  6. Solution of tan ^(-1)(1+x)+tan ^(-1)(1-x)=(pi)/(2) is

    Text Solution

    |

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

    Text Solution

    |

  8. The value of tan^(2) (sec^(-1) 2) + cot^2 ("cosec"^(-1) 3) is :

    Text Solution

    |

  9. The value of , sec ^(-1)((x)/(a))-sec ^(-1)((x)/(b))=sec ^(-1) b-sec...

    Text Solution

    |

  10. sin ^(-1)[cos (sin ^(-1) x)]+cos ^(-1)[sin (cos ^(-1) x)]=

    Text Solution

    |

  11. If (cos ^(-1) x)^(2)-(sin ^(-1) x)^(2) gt 0 then

    Text Solution

    |

  12. If x ge 1 then 2 tan ^(-1) x+sin ^(-1)((2 x)/(1+x^(2)))=

    Text Solution

    |

  13. If x=sin^(-1) k, y=cos^(-1) k, -1 le k le 1, then the correct relation...

    Text Solution

    |

  14. If sin ^(-1) x=(pi)/(5) then cos ^(-1) x=

    Text Solution

    |

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

    Text Solution

    |

  16. If tan ^(-1) x-tan ^(-1) y=-(pi)/(4) then

    Text Solution

    |

  17. If sum(i=1)^(20) sin ^(-1) x(l)=10 pi then sum(i=1)^(20) x(i)=

    Text Solution

    |

  18. If sec ^(-1) x+sec ^(-1) y+sec ^(-1) z=3 pi then x y+y z+z x=

    Text Solution

    |

  19. tan ^(-1)((1)/(3))+tan ^(-1) (1)/(7)+tan ^(-1) (1)/(13)+…..+tan ^(-1) ...

    Text Solution

    |

  20. Sum of ten terms of the series cot ^(-1) 3+cot ^(-1) 7+cot ^(-1) 13+...

    Text Solution

    |