Home
Class 12
MATHS
If x=asin2t(1+cos2t) and y=bcos2t(1-cos2...

If `x=asin2t(1+cos2t)` and `y=bcos2t(1-cos2t),` find the values of `(dy)/(dx)` at `t=pi/4` and `t=pi/3dot`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • CUET MOCK TEST 2022

    XII BOARDS PREVIOUS YEAR|Exercise Question|49 Videos

Similar Questions

Explore conceptually related problems

x=a sin 2t(1+cccos 2t ),y=b cos2 t (1-cos 2t) find dy/dx

If x = a sin2t(1+cos2t) and y =b cos 2t(1-cos2t) , then show that ((dy)/(dx))_(t=pi//4) = (b)/(a) .

If x=a sin2t(1+cos2t) and y=b cos2t(1-cos2t), show that at (pi)/(4),(dy)/(dx)=(b)/(a)

If x=cos t(3-2cos^(2)t) and y=sin t(3-2s epsilon^(2)t) find the value of (dy)/(dx) at t=(pi)/(4)

If x = a sin 2t(1 + cos 2t) and y = b cos 2 t(1 – cos 2 t), show that ((d y)/(d x))_(at t =pi/4)=b/a.

If x=a(cos t+t sin t) and y=a(sin t-t cos t),then find the value of (d^(2)y)/(dx^(2)) at t=(pi)/(4)

If x=a(cos t+t sin t) and y=a(sin t-t cos t), then find the value of (d^(2)y)/(dx^(2)) at t=(pi)/(4)

If x=a(cos t+t sin t) and y=a(sin t-t cos t), then find the value of (d^(2)y)/(dx^(2)) at t=(pi)/(4)

If x=t-1/t, and y=t+1/t," then the value of "(dy)/(dx)" at "t=2 is

XII BOARDS PREVIOUS YEAR-BOARD PAPER SOLUTIONS-All Questions
  1. Let f: N -> S be a function defined as f(x)=9x^2+6x-5. Show that f:N -...

    Text Solution

    |

  2. A manufacturer produces two products A and B. Both the products are ...

    Text Solution

    |

  3. If x=asin2t(1+cos2t) and y=bcos2t(1-cos2t), find the values of (dy)/(d...

    Text Solution

    |

  4. Find the position vector of a point which divides the join of points w...

    Text Solution

    |

  5. Matrix A=[0 2b-2 3 1 3 3a3-1] is given to be symmetric, find values of...

    Text Solution

    |

  6. If y=x^x , prove that (d^2y)/(dx^2)-1/y((dy)/(dx))^2-y/x=0

    Text Solution

    |

  7. Show that the equation of normal at any point t on the curve x=3cost-c...

    Text Solution

    |

  8. If A is a square matrix such that A^2=I , then find the simplified val...

    Text Solution

    |

  9. Find the maximum value of |[1, 1, 1],[ 1, 1+sintheta,1],[ 1, 1, 1+cost...

    Text Solution

    |

  10. Find the vector equation of a plane which is at a distance of 5 units ...

    Text Solution

    |

  11. Find : int(sqrt(x))/(sqrt(a^3-x^3))dxdot

    Text Solution

    |

  12. Find the intervals in which f(x) = sin 3x – Cos 3x, 0 < 0 < pi, is str...

    Text Solution

    |

  13. Show that the altitude of the right circular cone of maximum volume th...

    Text Solution

    |

  14. A and B throw a pair of dice alternately. A wins the game if he gets a...

    Text Solution

    |

  15. Prove that |[yz-x^2,zx-y^2,xy-z^2],[zx-y^2,xy-z^2,yz-x^2],[xy-z^2,yz-x...

    Text Solution

    |

  16. Using elementary transformations, find the inverse of the matrix A=(8 ...

    Text Solution

    |

  17. Three persons A, B and C apply for a job of Manager in a Private Compa...

    Text Solution

    |

  18. Solve for x : 2tan^(-1)(cosx)=tan^(-1)(2cos e cx)

    Text Solution

    |

  19. int(-1)^2|x^3-x|dxdot

    Text Solution

    |

  20. Find the particular solution of the differential equation (1-y^2)(1+lo...

    Text Solution

    |