Home
Class 12
MATHS
If x=a ( tcos t- sin t ) ,y =a ( tsin t ...

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

A

` -tant `

B

` tant `

C

`-cott`

D

`cott`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • Differential Equation

    NIKITA PUBLICATION|Exercise MULTIPLE CHOICE QUESTION|277 Videos

  • INTEGRATION

    NIKITA PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS|582 Videos

Similar Questions

Explore conceptually related problems

x = a (cos t + sin t), y = a (sin t-cos t)

If x=a (cos t +log (tan ((t)/(2)) )) ,y =a sin t ,then (dy)/(dx) =

If x=a(cos t+t sin t) and y=a(sin t-t cos t), then find (d^(2)y)/(dx^(2))

If y=a sin t, x=a cos t then find (dy)/(dx) .

If x= sin (log t ),y =log (sin t ) ,then (dy)/(dx)=

If x=a(cos t+t sin t) and y=a(sin t-t cos t)

If x = a (cos t + t sin t), y = a (sin t - t cos t), then at t = pi//4,(dy)/(dx)

If x =3 cos t-2cos ^(3) t,y =3 sin t- 2 sin ^(3) t,then (dy)/(dx) =

7. x=a(cos t+t sin t),y=a(sin t-t cos t) find dy/dx

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

NIKITA PUBLICATION-DIFFERENTIATION -MCQ
  1. If x=2cos theta -cos 2theta ,y=2sin theta -sin 2theta ,then (dy)/(dx)...

    Text Solution

    |

  2. यदि x=a sin 2theta (1+ cos 2theta ),y =bcos 2theta (1-cos 2theta ), ...

    Text Solution

    |

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

    Text Solution

    |

  4. If x=sin^3t/(sqrtcos2t), y=cos^3t/sqrt(cos2t) show that dy/dx =0 at t=...

    Text Solution

    |

  5. If x =a (cos theta +theta sin theta ), y =a (sin theta -theta costhet...

    Text Solution

    |

  6. If x= sin (log t ),y =log (sin t ) ,then (dy)/(dx)=

    Text Solution

    |

  7. If x=cos (logt ) ,y log (cost ) ,then (dy)/(dx) =

    Text Solution

    |

  8. If x=costheta,y=log ( tan ((theta)/(2))),then (dy)/(dx) =

    Text Solution

    |

  9. If x=sin sqrtt,y=e^sqrtt,then (dy)/(dx) =

    Text Solution

    |

  10. Derivative of log (sec theta + tan theta ) with respect top sec thet...

    Text Solution

    |

  11. If x=a (cos t +log (tan ((t)/(2)) )) ,y =a sin t ,then (dy)/(dx) =

    Text Solution

    |

  12. If x= (e^(m) +e^(-m))/( 2) ,y =(e^(m) -e^(-m))/(2) ,then (dy)/(dx) =

    Text Solution

    |

  13. If x=e^(sin 3t), y=e^(cos,3t),then (dy)/(dx)=

    Text Solution

    |

  14. If x=e^(sin 3t) y= e ^(cos , 3t) ,then (dy)/(dx)=

    Text Solution

    |

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

    Text Solution

    |

  16. If x = sqrt(a^(sin^(-1)t)) , y = sqrt(a^(cos^(-1)t) then show that,dy...

    Text Solution

    |

  17. If x= e^(theta )(sin theta - cos theta ) , y= e^(theta ) ( sin ...

    Text Solution

    |

  18. If u=e ^(log cos 4x ),v =e ^(log sin 4x ),then (dv)/(du)=

    Text Solution

    |

  19. If x=t log t ,y =t^(t) ,then (dy)/(dx)=

    Text Solution

    |

  20. If x=sqrt (1+u^(2)),y =log (1+u^(2) ) ,then (dy)/(dx) =

    Text Solution

    |