Home
Class 12
MATHS
The normal to the curve x=a(cos theta + ...

The normal to the curve `x=a(cos theta + theta sin theta), y=a(sin theta - theta cos theta)` at any `theta` is such that

Text Solution

Verified by Experts

` x cos theta + y sin theta -a =0`
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    AAKASH INSTITUTE|Exercise Assignment SECTION-A (Competition Level Questions)|50 Videos
  • APPLICATION OF DERIVATIVES

    AAKASH INSTITUTE|Exercise Assignment SECTION-B( Objective Type Questions ( One option is correct ))|31 Videos
  • APPLICATION OF DERIVATIVES

    AAKASH INSTITUTE|Exercise Assignment SECTION-J (Aakash Challengers Questions )|8 Videos
  • APPLICATION OF INTEGRALS

    AAKASH INSTITUTE|Exercise Assignment Section - I Aakash Challengers Questions|2 Videos

Similar Questions

Explore conceptually related problems

The normal to the curve x=a(cos theta-theta sin theta),y=a(sin theta-theta cos theta) at any point,theta, is such that

Find (dy)/(dx), when x=a(cos theta+theta sin theta) and y=a(sin theta-theta cos theta)

Show that the normal at any point theta to the curve x=a cos theta+a theta sin theta,y=a sin theta-a theta cos theta is at a constant distance from the origin.

Show that the normal at any point theta to the curve x=a cos theta+a theta sin thetay=a sin theta-a theta cos theta is at a constant distance from the origin.

AAKASH INSTITUTE-APPLICATION OF DERIVATIVES-TRY YOURSELF
  1. Find the equation of tangent and normal to the curve x^((2)/(3))+y^((...

    Text Solution

    |

  2. Find the equation of tangent to the curve given by x=2 sin^(3)t ,y=2 ...

    Text Solution

    |

  3. The normal to the curve x=a(cos theta + theta sin theta), y=a(sin thet...

    Text Solution

    |

  4. Prove that the segment of tangent to xy=c^(2) intercepted between the...

    Text Solution

    |

  5. Find the equations of tangent to the curve y=x^(4) which are drawn fro...

    Text Solution

    |

  6. Use differential to approximate sqrt(36. 6)

    Text Solution

    |

  7. If the radius of a sphere is measured as 9 cm with an error of 0.03...

    Text Solution

    |

  8. Find the approximate value of sin((5pi)/(16)) .

    Text Solution

    |

  9. Find the maximum and minimum value if any , of the function f given by...

    Text Solution

    |

  10. Find the maximum and minimum value if any , of the function f given by...

    Text Solution

    |

  11. Find the points of local maxima and minima of the function f(x)=x^(2)-...

    Text Solution

    |

  12. Find the points of local maxima and local minima of the function f(x...

    Text Solution

    |

  13. Find the maximum , minimum values of following functions ( using graph...

    Text Solution

    |

  14. Find local minimum value of the function f given by f(x)=3+|x|,x in R...

    Text Solution

    |

  15. Let f(x)=2x^(3)-3(a+b)x^(2)+6abx. If a gt b , determine the local ma...

    Text Solution

    |

  16. Find local maximum and local minimum values of the function f given b...

    Text Solution

    |

  17. Find all the points of local maxima and local minima of the function ...

    Text Solution

    |

  18. The operating cost of a truck is 12+(x/6) per km when the truck travel...

    Text Solution

    |

  19. Let AP and BQ be two vertical poles at points A and B, respectively. ...

    Text Solution

    |

  20. Find the absolute maximum and absolute minimum vlaues of a function f ...

    Text Solution

    |