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

If `x=sin^(-1)((2t)/(1+t^2))"and"y=tan^(-1)((2t)/(1-t^2)),-1

Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIALS, ERRORS AND APPROXIMATIONS

    RD SHARMA ENGLISH|Exercise All Questions|107 Videos

  • DIRECTION COSINES AND DIRECTION RATIOS

    RD SHARMA ENGLISH|Exercise All Questions|90 Videos

Similar Questions

Explore conceptually related problems

If x=sin^(-1)((2t)/(1+t^2)) and y= tan^(-1)((2t)/(1-t^2)),t > 1 . Prove that dy/dx=-1

If x=sin^(-1)((2t)/(1+t^2))a n d \ y=tan^(-1)((2t)/(1-t^2)),t > 1. P rov e \ t h a t(dy)/(dx)=-1

If x=sin^(-1)[(2t)/(1+t^2)]'and'y=tan^(-1)((2t)/(1-t^2)), prove that dy/dx=1'.

If x=sin^-1""(2t)/(1+t^2) and y=tan ^-1""(2t)/(1-t) " the n find " dy/dx.

Prove that: tan^-1(t) +tan^-1 ((2t)/(1-t^2))=tan^-1( (3t-t^3)/(1-3t^2)), if - 1/sqrt(3),tlt 1/sqrt(3)

The derivative of sin^(-1)((2x)/(1+x^(2))) w.r.t tan^(-1)((2x)/(1-x^(2))) is

If x=a((1+t^2)/(1-t^2))"and"y=(2t)/(1-t^2),"f i n d"(dy)/(dx)

Differentiate tan^(-1)((2x)/(1-x^(2))) w.r.t. sin^(-1)((2x)/(1+x^(2))).

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

The eccentricity of the conic x=3((1-t^(2))/(1+t^(2))) and y=(2t)/(1+t^(2)) is

RD SHARMA ENGLISH-DIFFERENTIATION-All Questions
  1. If x=cost " and " y=sint ,"prove : "(dy)/(dx)=1/(sqrt(3))"at " t=(2pi)...

    Text Solution

    |

  2. x = t + (1)/(t), y = t - 1/t

    Text Solution

    |

  3. If x=sin^(-1)((2t)/(1+t^2))"and"y=tan^(-1)((2t)/(1-t^2)),-1<t<1, "p r...

    Text Solution

    |

  4. If x and y are connected parametrically by the equations given, witho...

    Text Solution

    |

  5. If a>0, x=(t+1/t)^a ,y=a^(t+1/t),"find " (dy)/(dx)

    Text Solution

    |

  6. If x=a((1+t^2)/(1-t^2))"and"y=(2t)/(1-t^2),"f i n d"(dy)/(dx)

    Text Solution

    |

  7. If x=10(t-sint) , y=12(1-cost) , find (dy)/(dx) .

    Text Solution

    |

  8. If x=a(theta-sintheta) and, y=a(1+costheta) , find (dy)/(dx) at theta=...

    Text Solution

    |

  9. If x=asin2t(1+cos2t) and y=bcos2t(1-cos2t), show that at pi/4,(dy)/...

    Text Solution

    |

  10. If x=cost(3-2\ cos^2t) and y=sint(3-2sin^2t) find the value of (dy)/(d...

    Text Solution

    |

  11. If x=(1+logt)/(t^2),y=(3+2logt)/t ,"f i n d"(dy)/(dx)dot

    Text Solution

    |

  12. If x=3sint-sin3t ,y=3cos t-cos3t ,"f i n d"(dy)/(dx)"a t"t=pi/3dot

    Text Solution

    |

  13. If sinx=(2t)/(1+t^2) , tany=(2t)/(1-t^2) , find (dy)/(dx) .

    Text Solution

    |

  14. Differentiate logsinx with respect to sqrt(cosx) .

    Text Solution

    |

  15. Differentiate tan^(-1)((1+2x)/(1-2x))w i t hr e s p e c ttosqrt(1+4x^2...

    Text Solution

    |

  16. Differentiate tan^(-1)((sqrt(1+x^2)-1)/x) with respect to tan^(-1)x ,x...

    Text Solution

    |

  17. Differentiate sin^(-1)((2x)/(1+x^2)) with respect to tan^(-1)x .

    Text Solution

    |

  18. Differentiate x^x with respect to xlogx .

    Text Solution

    |

  19. Differentiate tan^(-1){(sqrt(1+x^2)-sqrt(1-x^2))/(sqrt(1+x^2)+sqrt(1-x...

    Text Solution

    |

  20. Differentiate x^(sin^(-1)x) with respect to sin^(-1)x .

    Text Solution

    |