Home
Class 11
MATHS
If y=(1)/(2)sin^(-1)((2xy)/(x^(2)+y^(2))...

If `y=(1)/(2)sin^(-1)((2xy)/(x^(2)+y^(2)))` and y lt x then `Lt_(y to 0)=`

A

`-1`

B

0

C

1

D

`oo`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • LIMITS

    AAKASH SERIES|Exercise EXERCISE-II|100 Videos

  • INVERSET TRIGONOMETRIC FUNCTIONS

    AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (LEVEL-II PRACTICE SHEET (ADVANCED) INTEGER TYPE QUESTIOS)|5 Videos

  • LOCUS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|37 Videos

Similar Questions

Explore conceptually related problems

If y=((sin^(-1)x)^(2))/(2) , then (1-x^(2))y_(2)-xy_(1)=

If x ^(2) - 2x ^(2) y ^(2) + 5x + y-5 =0 and y (1) then y '' (1)=

If y = (x ^(2) + 1) ^(sin x) then y'(0)=

If y = "sin"^(-1)[xsqrt(1 - x) - sqrt(x) sqrt(1 - x^2)] and 0 lt x lt 1 then (dy)/(dx) at x = (sqrt3)/2 is

Solve y(xy +1)dx+x(1+xy+x^(2)y^(2))dy = 0

If y = (sinh^(-1)x)/(sqrt(1 + x^(2)))"then" (1 +x^(2) ) y_(2) + 3xy_(1)+ y =

AAKASH SERIES-LIMITS-PRACTICE EXERCISE
  1. Lim(x to 0) [(1)/(h""^(3)sqrt((8+h)))-(1)/(2h)]=

    Text Solution

    |

  2. If Lt(x to 0) [1+x log(1+b^(2))]^(1//x)=2b sin^(2)theta, b gt 0 and th...

    Text Solution

    |

  3. Lt(x to a) (2-(x)/(a))^("tan"(pix)/(2a))=

    Text Solution

    |

  4. Lt(x to oo) (((n)/(n+1))^(lambda)+"tan"(1)/(n))^(n)=

    Text Solution

    |

  5. Let f:R to R be such that f(x)=3 and f'(1)=6 then Lt(x to 0)((f(1+x))...

    Text Solution

    |

  6. If underset(x to 0)"Lt" (1+a/x+b/x^(2))^(2x)=e^(2), then the value of ...

    Text Solution

    |

  7. Lt(x to 0)(1+3sin^(2) sqrt(x))^(1//5x)=

    Text Solution

    |

  8. Lt(x to 0) (e^(1//x))/(1+e^(1//x))=

    Text Solution

    |

  9. f(x)={{:(x^(2),if x le 1),(x, if 1 lt x le 2),(x-3,if x gt 2):} then L...

    Text Solution

    |

  10. Lt(x to 0)(cotx)^(sinx)=

    Text Solution

    |

  11. Lt(x to 0)log(cos x//2)cosx=

    Text Solution

    |

  12. Lim(x to 0){"cos"((x)/(2))cos((x)/(4))cos((x)/(8))....cos((x)/(2^(n)))...

    Text Solution

    |

  13. If [x] denotes greatest integer function then Lt(x to0)(sin[cosx])/(1+...

    Text Solution

    |

  14. Lt(x to 0)(sin^(-1)x+3x)/(tanx+2sin((1)/(2)sin^(-1)x)[3-4"sin"^(2)((1)...

    Text Solution

    |

  15. Lt(x to 0)((a(1)^(x)+a(2)^(x)+...+a(n)^(x))/(n))^(1//x)=

    Text Solution

    |

  16. Statement-I Lt(x to0)(tan{[-pi^(2)]x^(2)}-[pi^(2)]x^(2))/(sin^(2)x)=0 ...

    Text Solution

    |

  17. If y=(1)/(2)sin^(-1)((2xy)/(x^(2)+y^(2))) and y lt x then Lt(y to 0)=

    Text Solution

    |

  18. Let {x} denote the fractional part of x. then Lt(x to 0)({x})/(tan{x})...

    Text Solution

    |

  19. f(x)={{:(2px+3,if x lt 1),(1-px^(2), if x gt 1):} and let Lt(x to 1)f...

    Text Solution

    |

  20. If Lt(x to oo)(1+(a)/(x)-(4)/(x^(2)))=e^(3) then a=

    Text Solution

    |