Home
Class 12
MATHS
If y=sin t -cos t and x=sin t+cost, then...

If `y=sin t -cos t` and `x=sin t+cost`, then `(dy)/(dx)` at `t=(pi)/(6)` is :

A

1

B

`2+sqrt(3)`

C

0

D

`(sqrt(3)-1)/(2)`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • SAMPLE PAPER 11

    EDUCART PUBLICATION|Exercise SECTION- C|4 Videos
  • SAMPLE PAPER 11

    EDUCART PUBLICATION|Exercise SECTION- C|4 Videos
  • SAMPLE PAPER 09

    EDUCART PUBLICATION|Exercise SECTIONS-C|8 Videos
  • SAMPLE PAPER 2

    EDUCART PUBLICATION|Exercise Mathematics (Section - A) |1 Videos

Similar Questions

Explore conceptually related problems

If x=sin t-t cos t and y = t sin t +cos t, then what is (dy)/(dx) at point t=(pi)/(2)?

If x= sin t and y= sin^(3)t , then (d^(2)y)/(dx^(2)) at t=pi/2 is

If x=3sin t-sin3t,y=3cos t-cos3t, find (dy)/(dx) at t=(pi)/(3)

If x=a(t-sin t) and y=a(1+cos t) then (dy)/(dx)=

If x=cos t and y=sin t, prove that (dy)/(dx)=(1)/(sqrt(3)) at t=(2 pi)/(3)

If x=a cos^(4)t, y=b sin^(4)t then (dy)/(dx) at t = (3 pi)/(4) is

If x=a ( tcos t- sin t ) ,y =a ( tsin t +cos t ),then (dy)/(dx) =

If x=2cos t-cos2t,quad y=2sin t-sin2t find (d^(2)y)/(dx^(2)) at t=(pi)/(2)

EDUCART PUBLICATION-SAMPLE PAPER 11 -SECTION- B
  1. If sin (cot^(-1)(1-x))=cos(tan^(-1)(-x)), then x is

    Text Solution

    |

  2. If A=[(1,-1),(-1,1)] and A^(2)=lamdaA, then the value of lamda is :

    Text Solution

    |

  3. If A=[(1,2),(3,-1)]" and B "=[(1,3),(-1,1)], then matrix AB is a :

    Text Solution

    |

  4. If y=sin t -cos t and x=sin t+cost, then (dy)/(dx) at t=(pi)/(6) is :

    Text Solution

    |

  5. The interval in which the function f(x)=2x^(3)-9x^(2)+12x-15 is increa...

    Text Solution

    |

  6. The equation of tangent to the curve 16x^(2)+9y^(2)=145 at the (2,y(1)...

    Text Solution

    |

  7. If x = cos theta and y = sin^(3) theta, then |(yd ^(2)y)/(dx ^(2))+((d...

    Text Solution

    |

  8. If the system of linear equations x-y=0,2x+3y+4z=17 and y+2z=7 are wr...

    Text Solution

    |

  9. Simplify: cos theta[{:(costheta,sintheta),(-sintheta,costheta):}]+si...

    Text Solution

    |

  10. The value of sin^(-1)(sin""(2pi)/(3))+cos^(-1)(cos""(7pi)/(6)) is

    Text Solution

    |

  11. Let the relation R is a set of real numbers be defined as R={(x,y),y=3...

    Text Solution

    |

  12. Tangents to the curve y=x^(3)+3x at x=1 and x=-1 are :

    Text Solution

    |

  13. If y=sqrt(x)+(1)/(sqrt(x)), then (dy)/(dx)=

    Text Solution

    |

  14. The adjoint of matrix [(3,2),(-1,4)] is :

    Text Solution

    |

  15. The corner points of a feasible region determined by a system of linea...

    Text Solution

    |

  16. From the matrix equation AB=AC, we conclude B=C provided.

    Text Solution

    |

  17. The derivation of sqrt((1-cosx)/(1+cosx)) w.r.t. x is

    Text Solution

    |

  18. Determine the intervals in which the following functions are strictly ...

    Text Solution

    |