Home
Class 12
MATHS
Show that (dy)/(dx) is independent of t ...

Show that `(dy)/(dx)` is independent of `t_` . `cos x=sqrt((1)/(1+t^(2)))` and `siny=(2t)/(1+t^(2))`

Promotional Banner

Topper's Solved these Questions

  • QUESTION PAPER 2014

    SHARAM PUBLICATION|Exercise EXERCISE|38 Videos
  • QUESTION PAPER 2016

    SHARAM PUBLICATION|Exercise EXERCISE|51 Videos

Similar Questions

Explore conceptually related problems

Find the dy/dx when cos x = sqrt ((1)/(1+t^2)), sin y = (2t)/(1+t^2)

Show the dy/dx is independent of t if. x = cos^(-1) frac 1(sqrt(t^2 + 1)) and y = sin^(-1) frac t(sqrt(t^2 +1))

Find dy/dx, sinx=(2t)/(1+t^2),tany=(2t)/(1-t^2)

Find the dy/dx when sin x = (2t)/(1+t^2), tan y = (2t)/(1-t^2)

If x=a((1-t^(2))/(1+t^(2))) and y=(2t)/(1-t^(2)) , then find (dy)/(dx) .

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

Find the slope of the tangent to the curve x=a((1-t^2)/(1+t^2)) and y= (2at)/(1+t^2) at t= (1)/(sqrt3)

SHARAM PUBLICATION-QUESTION PAPER 2015-EXERCISE
  1. A line makes angles 60^(@) and 45^(@) with the positive direction of X...

    Text Solution

    |

  2. Write the equation of the plane perpendicular to y-axis at the point (...

    Text Solution

    |

  3. Show that (dy)/(dx) is independent of t . cos x=sqrt((1)/(1+t^(2))) an...

    Text Solution

    |

  4. Find (dy)/(dx), when y^(x)=x^(siny)

    Text Solution

    |

  5. Evaluate: underset(x rarr0^+)lim log(tan x)tan2x.

    Text Solution

    |

  6. Find the approximate value of root(6)(63).

    Text Solution

    |

  7. Show that 2sinx+tanxge3x for all x epsilon(0,(pi)/(2)).

    Text Solution

    |

  8. Find the area of the circle x^2+y^2=2ax.

    Text Solution

    |

  9. Evaluate: int x^2 tan^(-1)xdx.

    Text Solution

    |

  10. Evaluate int dx/(x ln (x)sqrt((In(x))^2-4))

    Text Solution

    |

  11. Solve the following differential equations (x+2y^3)(dy)/(dx)= y

    Text Solution

    |

  12. Solve the following differential equation : x^(2)(y-1)dx+y^(2)(x-1)dy ...

    Text Solution

    |

  13. Find the particular solution ofthe differential equation (d^2y)/(dx^2)...

    Text Solution

    |

  14. If veca, vecb, vecc are mutually perpendicular vectors of equal magnit...

    Text Solution

    |

  15. Prove that the measure of the angle between two main diagonals of a cu...

    Text Solution

    |

  16. Prove by vector method that the lines joining the mid points of consec...

    Text Solution

    |

  17. Prove that [vecaxxvecbvecbxxveccveccxxveca] = [vecavecbvecc]^2

    Text Solution

    |

  18. Solve the following LPP graphically : Minimize Z = 6x(1)+7x(2) Sub...

    Text Solution

    |

  19. Find the feasible region of the system. 2y-xge0,6y-3xle21,xge0,yge0

    Text Solution

    |

  20. Find the equation of the plane through the points (1, 2, -3), (2,3, -4...

    Text Solution

    |