Home
Class 12
MATHS
If x = 2at^(2) ,y =at^(4) ,then (dy)/(d...

If ` x = 2at^(2) ,y =at^(4) ,then (dy)/(dx) =`

A

` t^(2)`

B

` 2t^(2)`

C

` (1)/(t^(2))`

D

` (1)/( 2t^(2))`

Text Solution

Verified by Experts

The correct Answer is:
A
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

y=x^(2),then(dy)/(dx)=

If x= at^(2) ,y= at ,then (dy)/(dx)=

If x= at^(4) y = 2at^(2) then (dy)/(dx)= _____

If x=at^(2),y=2at," then "(dy)/(dx)=

If x^(y) = 2^(x-y) , then (dy)/(dx) =?

If x log_(e) (log _(e) x) - x^(2) + y^(2) = 4 (y gt 0) , then (dy)/(dx) at x = e is equal to

If x^(2)+xy+y^(2)=(7)/(4), then (dy)/(dx) at x=1 and y=(1)/(2) is:

If x^(2)+y^(2)=4, then y(dy)/(dx)+x is equal to

NIKITA PUBLICATION-DIFFERENTIATION -MCQ
  1. If x=a(t-(1)/(t)),y=a(t+(1)/(t)), where t be the parameter, then (dy)/...

    Text Solution

    |

  2. If x= at^(2) ,y= at ,then (dy)/(dx)=

    Text Solution

    |

  3. If x = 2at^(2) ,y =at^(4) ,then (dy)/(dx) =

    Text Solution

    |

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

    Text Solution

    |

  5. If x=(2t)/(1+t^2),y=(1-t^2)/(1+t^2),t h e nfin d(dy)/(dx)a tt=2.

    Text Solution

    |

  6. If x^(2) +y^(2) =t-(1)/(t) andx^(4) +y^(4) =t^(2) +(1)/( t^(2)),then (...

    Text Solution

    |

  7. if x^2+y^2 = t - 1/t and x^4 + y^4 = t^2 + 1/t^2 then prove that dy/dx...

    Text Solution

    |

  8. If x=a cos theta ,y=asin theta ,then (dy)/(dx)=

    Text Solution

    |

  9. If xsin t,y =cos 2t ,then (dy)/(dx) =

    Text Solution

    |

  10. If x =a cot theta , y=b cosec theta ,then (dy)/(dx)=

    Text Solution

    |

  11. If x = a sec theta, y = b tan theta " then " (dy)/(dx) = ?

    Text Solution

    |

  12. If x =asec theta,y = atan theta , then" at" theta =(pi)/( 4) ,(dy)/(d...

    Text Solution

    |

  13. If x=acos^3t y =asin^3t then (dy)/(dx)=

    Text Solution

    |

  14. If x = a cos^(3) theta, y = a sin ^(3) theta then sqrt(1+((dy)/(dx))^(...

    Text Solution

    |

  15. If x=a cos ^(3) t,y =a sin ^(3)t,then " at" t = (pi)/(3) ,(dy)/(dx) ...

    Text Solution

    |

  16. If x=asec^3thetaa n dy=atan^3theta,fin d(dy)/(dx)a ttheta=pi/3dot

    Text Solution

    |

  17. If x= sec ^(2) theta, y =tan ^(3) theta ,then " at " theta (pi)/(3) ,...

    Text Solution

    |

  18. If x= 3tan theta ,y =3cosec theta, then " at " theta =(pi)/(6) ,(dy)/...

    Text Solution

    |

  19. If x= 2 cos^(4) (t+3) ,y=3sin ^(4) (t+3) ,then (dy)/(dx)=

    Text Solution

    |

  20. if x=a cos^(4) theta, y= a sin^(4) theta, "then" (dy)/(dx)"at" theta=(...

    Text Solution

    |