Home
Class 12
MATHS
Find the equation of the normal to the c...

Find the equation of the normal to the curve given by
`x = 3 cos theta - cos^3theta
`y = 3 sin theta - sin^3 theta`

Promotional Banner

Topper's Solved these Questions

  • AREA UNDER PLANE CURVES (APPLICATION OF DEFINITE INTEGRALS)

    MBD PUBLICATION|Exercise QUESTION BANK|16 Videos

Similar Questions

Explore conceptually related problems

Find the equation of the normal to the curve given by x=3cos theta-cos^3theta and y=3sin theta-sin^3theta at theta=(pi)/(4)

Find the equation of the normal to the curve given by x = cos^3theta , y = sin^3theta at theta=pi/4

Show that the equation of normal at any point on the curve x = 3 cos theta - cos^(3) theta, y = 3 sin theta - sin^(3) theta "is" 4 (y cos^(3) theta - x sin^(3) theta) = 3 sin 4 theta .

Find the.equations of tangent and normal to the curves x = a sin^3theta and y = a cos^3theta at theta=pi/4

Solve the following: cos 2theta - cos theta = sin theta - sin 2theta

Find the equations of tangent and normal to curve x = 1 - cos theta and y = theta - sin theta "at" theta = (pi)/(4) .

Find the slope of the normal to the curve x = a cos^(3) theta and y = a sin^(3) theta "at" theta = (pi)/(4)

Show that the equation of the normal to x^(2/3) + y^(2/3) = a^(2/3) is y cos theta - x sin theta = a cos 2"theta" where theta is the inclination of the normal to x-axis.

MBD PUBLICATION-APPLICATION OF DERIVATIVES-QUESTION BANK
  1. Find the tangent to the curve y = cos (x + y), 0 lt x lt 2 pi which...

    Text Solution

    |

  2. If tangents are drawn from the origin to the curve y = sin x then sho...

    Text Solution

    |

  3. Find the equation of the normal to the curve given by x = 3 cos thet...

    Text Solution

    |

  4. If x cos alpha + y sin alpha = p is a tangent to the curve (x/a)^(n/...

    Text Solution

    |

  5. Show that the tangent to the curve x = a (t - sin t), y = at (1 + cos ...

    Text Solution

    |

  6. Find the intervals where the following functions are (a) increasing an...

    Text Solution

    |

  7. Find the intervals where the following functions are (a) increasing an...

    Text Solution

    |

  8. Find the intervals where the following functions are (a) increasing an...

    Text Solution

    |

  9. Find the intervals where the following functions are (a) increasing an...

    Text Solution

    |

  10. Find the intervals where the following functions are (a) increasing an...

    Text Solution

    |

  11. Find the intervals where the following functions are (a) increasing an...

    Text Solution

    |

  12. Find the intervals where the following functions are (a) increasing an...

    Text Solution

    |

  13. Find the intervals where the following functions are (a) increasing an...

    Text Solution

    |

  14. Find the intervals where the following functions are (a) increasing an...

    Text Solution

    |

  15. Find the intervals where the following functions are (a) increasing an...

    Text Solution

    |

  16. Find the intervals where the following functions are (a) increasing an...

    Text Solution

    |

  17. Find the intervals where the following functions are (a) increasing an...

    Text Solution

    |

  18. Give a rough sketch of the functions given in question 1.

    Text Solution

    |

  19. Show that the function e^x/x^p is strictly increasing for x gt p gt 0.

    Text Solution

    |

  20. Show that 2 sin x + than x ge 3x all x in (0, pi/20).

    Text Solution

    |