Home
Class 12
MATHS
Find (d^(2)y)/(dx^(2)) in the following ...

Find `(d^(2)y)/(dx^(2))` in the following
`x=acostheta,y=bsintheta`

Text Solution

Verified by Experts

The correct Answer is:
`-b/a^(2)cosec^(3)theta`
Promotional Banner

Topper's Solved these Questions

  • CONTINUITY AND DIFFERENTIABILITY

    MODERN PUBLICATION|Exercise EXERCISE 5(l) (SHORT ANSWER TYPE QUESTIONS)|15 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    MODERN PUBLICATION|Exercise EXERCISE 5(l) (LONG ANSWER TYPE QUESTIONS (I))|23 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    MODERN PUBLICATION|Exercise EXERCISE 5(k) (SHORT ANSWER TYPE QUESTIONS)|19 Videos

  • APPLICATIONS OF THE INTEGRALS

    MODERN PUBLICATION|Exercise CHAPTER TEST|12 Videos

  • DETERMINANTS

    MODERN PUBLICATION|Exercise Chapter test 4|12 Videos

Similar Questions

Explore conceptually related problems

Find (d^(2)y)/(dx^(2)) in the following x=acos^(3)theta,y=bsin^(3)theta

Find (d^(2)y)/(dx^(2)) in the following x=acos^(3)theta,y=asin^(3)theta

Find (d^(2)y)/(dx^(2)) in the following If x=acos^(3)thetaandy=asin^(3)theta , then find the value of (d^(2)y)/(dx^(2))" at "theta=pi/6 .

Find (d^(2)y)/(dx^(2)) in the following x=at^(2),y=2at

Find (d^(2)y)/(dx^(2)) in the following x=a(cost+tsint),y=a(sint-tcost)

Find (d^(2)y)/(dx^(2)) in the following x=a(theta+sintheta),y=a(1+costheta)

Find (d^(2)y)/(dx^(2)) when y=logx/x .

Find (d^(2)y)/(dx^(2)) in the following x=(2at^(2))/(1+t),y=(3at)/(1+t)

Find (d^(2)y)/(dx^(2))" when "y=logx+x .

MODERN PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-EXERCISE 5(k) (LONG ANSWER TYPE QUESTIONS (I))
  1. Find (d^(2)y)/(dx^(2)) in the following x=at^(2),y=2at

    Text Solution

    |

  2. Find (d^(2)y)/(dx^(2)) in the following x=(2at^(2))/(1+t),y=(3at)/(1...

    Text Solution

    |

  3. Find (d^(2)y)/(dx^(2)) in the following x=acostheta,y=bsintheta

    Text Solution

    |

  4. Find (d^(2)y)/(dx^(2)) in the following x=acos^(3)theta,y=asin^(3)th...

    Text Solution

    |

  5. Find (d^(2)y)/(dx^(2)) in the following x=acos^(3)theta,y=bsin^(3)th...

    Text Solution

    |

  6. Find (d^(2)y)/(dx^(2)) in the following If x^(2/3)+y^(2/3)=a^(2/3),"...

    Text Solution

    |

  7. Find (d^(2)y)/(dx^(2)) in the following If x=acos^(3)thetaandy=asin^...

    Text Solution

    |

  8. Find (d^(2)y)/(dx^(2)) in the following x=a(cost+tsint),y=a(sint-tco...

    Text Solution

    |

  9. Find (d^(2)y)/(dx^(2)) in the following x=a(theta+sintheta),y=a(1+co...

    Text Solution

    |

  10. Find (d^(2)y)/(dx^(2))" at "theta=pi/2 when : x=a(theta+sintheta),y=...

    Text Solution

    |

  11. Find (d^(2)y)/(dx^(2))" at "theta=pi/2 when : x=a(theta-sintheta),y=...

    Text Solution

    |

  12. Find (d^(2)y)/(dx^(2))" at "theta=pi/2 when : x=a(1-costheta),y=a(th...

    Text Solution

    |

  13. Find (d^(2)y)/(dx^(2))" at "theta=pi/2 when : x=a(theta-sintheta),y=...

    Text Solution

    |

  14. Find (d^(2)y)/(dx^(2))" at "theta=pi/4 when : x=a(costheta+logtanthe...

    Text Solution

    |

  15. If x=cost+logtant/2,\ \ y=sint , then find the value of (d^2y)/(dt^2) ...

    Text Solution

    |

  16. Find (d^(2)y)/(dx^(2)) when : x=2costheta-cos2thetaandy=2sintheta-si...

    Text Solution

    |

  17. If x=a(cos 2 theta+2 theta sin 2 theta) " and" y=a(sin 2 theta - 2 the...

    Text Solution

    |

  18. If x=asint\ and y=a(cost+logtant/2) , find (d^2\ y)/(dx^2)

    Text Solution

    |

  19. If x+y=tan^(-1)y" and "(d^(2)y)/(dx^(2))=f(y)(dy)/(dx), then f(y)=

    Text Solution

    |

  20. If y=(sin^(-1)x)^2 then prove that (1-x^(2))(d^2y)/(dx^2)-x(dy)/(dx)-2...

    Text Solution

    |