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

If `sin^(-1)((x^2-y^2)/(x^2+y^2)) = loga , ` then `(dy)/(dx)` is equal to

A

`x/y`

B

`y/x^2`

C

`(x^2-y^2)/(x^2+y^2)`

D

`y/x`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • DIFFRENTATION

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE - I) (LEVEL - II) (More than One correct answer Type Questions)|8 Videos

  • DIFFRENTATION

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE - I) (LEVEL - II) (Linked Comprehension Type Questions)|6 Videos

  • DIFFRENTATION

    AAKASH SERIES|Exercise LECTURE SHEET (EXERCISE - I)(INTEGER TYPE QUESTIONS)|14 Videos

  • DIFFERENTIATION

    AAKASH SERIES|Exercise ADVANCED SUBJECTIVE TYPE QUESTIONS |26 Videos

  • DIRECTION COSINES & RATIOS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|36 Videos

Similar Questions

Explore conceptually related problems

If x sin(a+y) = siny then (dy)/(dx) is equal to

If (x ^(2))/(a ^(2)) - (y ^(2))/(b ^(2)) =1 then (dy)/(dx)=

If sin^(-1)x+sin^(-1)y=pi/2 , then (dy)/(dx) is equal to

If 2x^(2) - 3xy + y^(2) + x + 2y - 8 = 0 , then (dy)/(dx) is equal to

If y = "cos^(-1)((2x)/(1 + x^2)) , then (dy)/(dx) is

If y = Sin ^(-1) (1 - x ^(2))/(1+ x ^(2)) then (dy)/(dX)=

If Cos ^(-1) (( x ^(2) - y ^(2))/(x ^(2) + y ^(2)))=k (a constnat), then (dy)/(dx) =

If y= Sin ^(-1) (x ^(2) - (1)/(2)) then (dy)/(dx) at x =0 is

If x^(2)+y^(2)=t+(1)/(t) "and" x^(4)+y^(4)=t^(2)+(1)/(t^2), "then" (dy)/(dx) is equal to

If y = cos^(-1)((a^(2)-x^(2))/(a^(2)+x^(2)))+sin^(-1)((2ax)/(a^(2)+x^(2))) , then (dy)/(dx) to

AAKASH SERIES-DIFFRENTATION-PRACTICE SHEET (EXERCISE - I) (LEVEL - I)(Straight Objective Type Questios)
  1. If y = cos^(-1)((a^(2)-x^(2))/(a^(2)+x^(2)))+sin^(-1)((2ax)/(a^(2)+x^(...

    Text Solution

    |

  2. y = Cot^(-1)[(sqrt(1+sinx)+sqrt(1-sinx))/(sqrt(1+sinx)-sqrt(1-sinx))] ...

    Text Solution

    |

  3. If sin^(-1)((x^2-y^2)/(x^2+y^2)) = loga , then (dy)/(dx) is equal to

    Text Solution

    |

  4. The derivative of Sec ^(-1)"" (1)/( 2x ^(2) -1) w.r.t . sqrt(1+ 3x ) a...

    Text Solution

    |

  5. If r = [ 2 phi +cos^2(2phi+pi//4)]^(1//2) , then what is the value of ...

    Text Solution

    |

  6. If y =cot^(-1) (1-x+x^2) , then (dy)/(dx) =

    Text Solution

    |

  7. f(x) = Cot^(-1)((x^x-x^(-x))/(2)) then f^(1)(1)=

    Text Solution

    |

  8. f(x) = Cot^(-1)((x^x-x^(-x))/(2)) then f^(1)(1)=

    Text Solution

    |

  9. If y =(logx)^(x) then (dy)/(dx) =

    Text Solution

    |

  10. If x^(m) y^(n)=(x+y)^(m+n) , then dy/dx is equal to

    Text Solution

    |

  11. If y = 2^(2 ^(x)), then (dy)/(dx) =

    Text Solution

    |

  12. If y = (sinx)^(x) then (dy)/(dx) =

    Text Solution

    |

  13. If y=x^(cosx) then (dy)/(dx)=

    Text Solution

    |

  14. d/(dx){x^(tanx)} =

    Text Solution

    |

  15. If y = (ax+b)^(cx+d) then (dy)/(dx) =

    Text Solution

    |

  16. The derivative of y = (1-x) (2-x) (3-x) ....(n-x) at x = 1 is

    Text Solution

    |

  17. If y = log {((1 +x)/(1-x )) ^(1//4) } -1/2 Tan ^(-1) (x ), then (dy)/(...

    Text Solution

    |

  18. f (x) = (cos x) ( cos 2x ) …( cos nx) implies f' (x) + sum ^(n) (r tan...

    Text Solution

    |

  19. f (x) = (cos x) ( cos 2x ) …( cos nx) implies f' (x) + sum ^(n) (r tan...

    Text Solution

    |

  20. d/(dx)[(cosx)^(logx)+(logx)^(x)] =

    Text Solution

    |