Home
Class 12
MATHS
cos^(- 1)((x^2-y^2)/(x^2+y^2))=loga find...

`cos^(- 1)((x^2-y^2)/(x^2+y^2))=loga` find `dy/dx`

A

`y//x`

B

`x//y`

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIABILITY AND DIFFERENTIATION

    MCGROW HILL PUBLICATION|Exercise EXAMPLES (LEVEL 2) Single Correct Answer Type Questions |30 Videos
  • DIFFERENTIABILITY AND DIFFERENTIATION

    MCGROW HILL PUBLICATION|Exercise EXAMPLES (Numerical Answer Type Questions)|17 Videos
  • DIFFERENTIABILITY AND DIFFERENTIATION

    MCGROW HILL PUBLICATION|Exercise Questions from Previous Years. B-Architecture Entrance Examination Papers |16 Videos
  • DETERMINANTS

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS B-ARCHITECTURE ENTRANCE EXAMINATION PAPERS|18 Videos
  • DIFFERENTIAL EQUATIONS

    MCGROW HILL PUBLICATION|Exercise Questions from Previous Years. B-Architecture Entrance Examination Papers|14 Videos

Similar Questions

Explore conceptually related problems

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

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

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

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

x^2y=1 find dy/dx

If x^2+y^2=x-y find dy/dx

y = log_a^x , dy/dx

If y=sin^(-1)((1-x^(2))/(1+x^(2)))+cos^(-1)((1-x^(2))/(1+x^(2))) find (dy)/(dx)

If cos^(-1)((x^(2)-y^(2))/(x^(2)+y^(2)))=tan^(-1)a then prove that (dy)/(dx)=(y)/(x)

If cos^(-1)((x^(2)-y^(2))/(x^(2)+y^(2)))=tan^(-1)a, prove that (dy)/(dx)=(y)/(x)

MCGROW HILL PUBLICATION-DIFFERENTIABILITY AND DIFFERENTIATION -EXAMPLES (LEVEL 1) Single Correct Answer Type Questions
  1. For a whole number n, if f(x)=x^(n-1)sin(1//x),x ne 0 and f(0)=0 then ...

    Text Solution

    |

  2. (d)/(dx)(log(ax)^(x)), where a is a constant is equal to

    Text Solution

    |

  3. cos^(- 1)((x^2-y^2)/(x^2+y^2))=loga find dy/dx

    Text Solution

    |

  4. If (sin x)(cos y)=1//2 then d^(2)y//dx^(2) at (pi//4,pi//4) is equal t...

    Text Solution

    |

  5. The set onto which the derivative of the function f(x)=x(log x-1) maps...

    Text Solution

    |

  6. Let f (x) be a function satisfying f(x+y)=f(x)f(y) for all x, y in R a...

    Text Solution

    |

  7. Let g=f^(-1) and f'(x)=(1)/(1+x^(4)) then g'(x) is equal to

    Text Solution

    |

  8. Suppose for a differentiable function f, f(0)=0,f(1)=1 and f'(0)=4=f'(...

    Text Solution

    |

  9. If the function f is differentiable and strictly increasing in a neigh...

    Text Solution

    |

  10. Let f(x)=||x-1|-1|, then all the points where f(x) is not differentiab...

    Text Solution

    |

  11. (d^(2)x)/(dy^(2)) equals

    Text Solution

    |

  12. If x^(2)+y^(2)=t+(1)/(t) and x^(4)+y^(4)=t^(2)+(1)/(t^(2))(xy gt0) the...

    Text Solution

    |

  13. If 2f(sinx)+f(cosx)=x for all x in R then y=f(x) satisfies

    Text Solution

    |

  14. Let f(x)=(1+sinx)(2+sin^(2)x)…+(n+sin^(n)x) then f'(0) is equal to

    Text Solution

    |

  15. Let f(alpha) be a function defined by f(alpha)(x)={{:(x^(alpha)sin1//x...

    Text Solution

    |

  16. If function f(x) is differentiable at x = a then underset(x to a)lim""...

    Text Solution

    |

  17. Let f:(0,1)to R be defind by f(x)=(b-x)/(1-bx) where b is a constant s...

    Text Solution

    |

  18. If y=cosec(cot^(-1)x), then (dy)/(dx) at x = 1 is equal to

    Text Solution

    |

  19. Let f(x)={{:((1)/(|x|),,"if "|x|gt2),(A+Bx^(2),,"if "|x|le2):} then ...

    Text Solution

    |

  20. If f''(x)=-f(x),h(x)=f'(x) and F(x)=(f(x//2))^(2)+(h(x//2))^(2). Given...

    Text Solution

    |