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

Find the equation of normal to the curve `x=cos theta, y = sin theta" at point "theta = pi/4*`

Text Solution

AI Generated Solution

To find the equation of the normal to the curve defined by \( x = \cos \theta \) and \( y = \sin \theta \) at the point where \( \theta = \frac{\pi}{4} \), we can follow these steps: ### Step 1: Find the coordinates of the point on the curve at \( \theta = \frac{\pi}{4} \) Using the parametric equations: \[ x = \cos \theta \] ...
Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF DERIVATIVES

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 6a|20 Videos
  • APPLICATIONS OF DERIVATIVES

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 6b|17 Videos
  • APPLICATIONS OF INTEGRALS

    NAGEEN PRAKASHAN ENGLISH|Exercise Miscellaneous Exercise|19 Videos

Similar Questions

Explore conceptually related problems

Find the equation of normal to the curve x = a cos^(3)theta, y=b sin^(3) theta" at point "'theta'.

Find the equation of the normal to the curve x = acostheta and y = b sintheta at theta

The equation of the normal to the curve x=a\ cos^3theta,\ \ y=a\ sin^3theta at the point theta=pi//4 is (a) x=0 (b) y=0 (c) x=y (d) x+y=a

Find the slope of the normal to the curve x=a\ cos^3theta , y=a\ sin^3theta at theta=pi/4 .

Find the slope of the normal to the curve x = a cos^(3) theta, y = a sin^(3) theta at theta = (pi)/(4) . A) 0 B) -1 C) 1 D) none of these

Find the equation of the tangent line to the curve x=1-costheta,\ y=theta-sintheta at theta=pi//4 .

Find the equation of the tangent to the curve x=theta+sintheta,y=1+costheta at theta=pi/4dot

Find the slopes of the tangent and the normal to the curve x=a\ cos^3theta,\ \ y=a\ sin^3theta at theta=pi//4

Find the slope of the normal to the curve x=1-asintheta , y=b\ cos^2theta at theta=pi/2 .

Find the equation of the tangent to the curve x=theta+sintheta , y=1+costheta at theta=pi//4 .

NAGEEN PRAKASHAN ENGLISH-APPLICATIONS OF DERIVATIVES-Miscellaneous Exercise
  1. Find the equation of normal to the curve x=cos theta, y = sin theta" a...

    Text Solution

    |

  2. Using differentials, find the approximate value of each of the follow...

    Text Solution

    |

  3. Show that the function given by f(x)=(logx)/xhas maximum at x = e.

    Text Solution

    |

  4. The two equal sides of an isosceles triangle with fixed base b are ...

    Text Solution

    |

  5. Find the equation of the normal to the curve x^2=4\ y which passes ...

    Text Solution

    |

  6. Show that the normal at any point theta to the curve x=acostheta+at...

    Text Solution

    |

  7. Find the intervals in which the function f given by f(x)=(4sinx-2x-x c...

    Text Solution

    |

  8. Find the intervals in which the function f given by f(x)=x^3+1/(x^3),\...

    Text Solution

    |

  9. Find the area of the greatest isosceles triangle that can be inscri...

    Text Solution

    |

  10. A tank with rectangular base and rectangular sides, open at the top ...

    Text Solution

    |

  11. The sum of the perimeter of a circle and square is k, where k is so...

    Text Solution

    |

  12. A window is in the form of a rectangle surmounted by a semicircular...

    Text Solution

    |

  13. A point on the hypotenuse of a triangle is at distance a and b from...

    Text Solution

    |

  14. Find the points at which the function f given by f(x)=(x-2)^4(x+1)^3 h...

    Text Solution

    |

  15. Find the absolute maximum and minimum values of the function f give...

    Text Solution

    |

  16. Show that the altitude of the right circular cone of maximum volume ...

    Text Solution

    |

  17. Let f be a function defined on [a, b] such that f^(prime)(x)>0, for al...

    Text Solution

    |

  18. Show that the height of the cylinder of maximum volume that can be ...

    Text Solution

    |

  19. Show that height of the cylinder of greatest volume which can be in...

    Text Solution

    |

  20. A cylindrical tank of radius 10 m is being filled with wheat at the r...

    Text Solution

    |

  21. The slope of the tangent to the curve x=t^2+3t-8,y=2t^2-2t-5at the po...

    Text Solution

    |