Home
Class 12
MATHS
If sin^(-1)"" ((x^2-y^2 )/(x^2 +y^2))=l...

If ` sin^(-1)"" ((x^2-y^2 )/(x^2 +y^2))=log ` a then `(dy)/(dx)` equals

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

  • DIFFERENTIATION

    ML KHANNA|Exercise PROBLEM SET-(3)|24 Videos
  • DIFFERENTIATION

    ML KHANNA|Exercise SELF ASSESSMENT TEST |22 Videos
  • DIFFERENTIATION

    ML KHANNA|Exercise MESCELLANEOUS EXERCISE|3 Videos
  • DIFFERENTIAL EQUATIONS

    ML KHANNA|Exercise MISCELLANEOUS EXERCISE (Matching Entries) |2 Videos
  • EXAMINATION PAPER -2013

    ML KHANNA|Exercise PAPER -II SECTION-3 (MATCHING LIST TYPE)|4 Videos

Similar Questions

Explore conceptually related problems

If sin^(-1)((x^(2)-y^(2))/(x^(2)+y^(2)))=log a then (dy)/(dx) is equal to (x^(2)-y^(2))/(x^(2)+y^(2)) (b) (y)/(x) (c) (x)/(y) (d) none of these

If sin^(-1)((x^(2)-y^(2))/(x^(2)+y^(2)))=log a then (dy)/(dx) is equal to (x^(2)-y^(2))/(x^(2)+y^(2)) (b) (y)/(x) (c) (x)/(y) (d) none of these

If sin^(-1)((x^(2)-y^(2))/(x^(2)+y^(2)))=loga then (dy)/(dx) equals

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

cos^(-1)((x^(2)-y^(2))/(x^(2)+y^(2)))=log a find (dy)/(dx)

if cos^(-1){(x^(2)-y^(2))/(x^(2)+y^(2))}=log a then find (dy)/(dx)

If log _(10) ((x^(2) - y^(2))/(x^(2) + y^(2))) = 2 , " then" (dy)/(dx) is equal to

If log_(10)((x^(2)-y^(2))/((x^(2))+y^(2)))=2" then "(dy)/(dx) is equal to

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

ML KHANNA-DIFFERENTIATION-PROBLEM SET-(2)
  1. If y= Ke^(x//(x-a)) then (dy)/(dx) is equal to

    Text Solution

    |

  2. If x^p y^q = (x +y) ^(p+q) , then (dy)/(dx) is equal to also s...

    Text Solution

    |

  3. If sin^(-1)"" ((x^2-y^2 )/(x^2 +y^2))=log a then (dy)/(dx) equals

    Text Solution

    |

  4. If y=(1+x^(1//4))(1+x^(1//2))(1-x^(1//4)), then what is (dy)/(dx) equa...

    Text Solution

    |

  5. If y^(1/m)= x + sqrt (1 + x^(2)) "then" (1 + x^(2))y(2)+ xy (1) = ?

    Text Solution

    |

  6. if y= {x+ sqrt""(x^2 + a^2 )} ^n then (dy)/(dx) =

    Text Solution

    |

  7. if e^y +xy = e then the value of (d^2 y)/( dx^2) for x=0 is

    Text Solution

    |

  8. if sqrt(x+y)+sqrt(y-x)=c then (d^2 y)/(dx^2) equals

    Text Solution

    |

  9. if phi is inverse of f and f'(x) =(1)/( 1 +x^n) then phi '[x] equ...

    Text Solution

    |

  10. if 2f ( sin x) + f( cos x) = x then (d)/(dx) f(x) Is

    Text Solution

    |

  11. if f'(x) = sin ( log x) and y = f((2x +3)/(3-2x)) then (dy)/(dx) ...

    Text Solution

    |

  12. If for a continuous function f,f(0) = f(1) =0 , f '(1) = 2 and g...

    Text Solution

    |

  13. Let F(x) =(f(x/2))^(2) +(g(x/2))^(2). F(5)=5 and f''(x) =-f(x), g(x) =...

    Text Solution

    |

  14. f and g are two differentiable functions which satisfy the cond...

    Text Solution

    |

  15. Y1 = (dy)/(dx) and Y2 =(d^2 y)/( dx^2) . If Y= sin ( m sin^(-1)...

    Text Solution

    |

  16. If Y = ( sin^(-1)"" x)^2 + (cos ^(-1) x)^2 , then (1-x^2) (d^2 y)/(d...

    Text Solution

    |

  17. If y= ( sin^(-1)"" x)^2 +(cos^(-1) "" x)^2 then (1-x^2) (d^2y)/(dx...

    Text Solution

    |

  18. Differential coefficient of log(10)x " " w.r.t " " logx 10 is

    Text Solution

    |

  19. If Y= log [Sec (e^(x^2))] then (dy)/(dx) is equal to

    Text Solution

    |

  20. If x= sqrt((1-t^2)/( 1+t^2)) and y= ( sqrt(1+t^2) - sqrt(1-t^2)) th...

    Text Solution

    |