Home
Class 12
MATHS
Find the equations of tangent and nor...

Find the equations of tangent and normal to the ellipse `(x^2)/(a^2)+(y^2)/(b^2)=1` at `(x_1,\ y_1)` .

Text Solution

Verified by Experts

The correct Answer is:
`(a^(2)x)/x^(1) - (b^(2)y)/y^(1) = a^(2) - b^(2)`
Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF DERIVATIVES

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 6f|19 Videos
  • APPLICATIONS OF DERIVATIVES

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 6g|23 Videos
  • APPLICATIONS OF DERIVATIVES

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise 6d|24 Videos
  • APPLICATIONS OF INTEGRALS

    NAGEEN PRAKASHAN ENGLISH|Exercise Miscellaneous Exercise|19 Videos

Similar Questions

Explore conceptually related problems

Find the equation of tangent and normal to the ellipse x^2+8y^2=33 at (-1,2).

Find the equations of the tangent and the normal to the curve (x^2)/(a^2)-(y^2)/(b^2)=1 at (sqrt(2)a ,\ b) at indicated points.

Find the equations of the tangent and the normal to the curve (x^2)/(a^2)+(y^2)/(b^2)=1 at (acostheta,\ bsintheta) at the indicated points

Find the equations of the tangent and the normal to the curve (x^2)/(a^2)-(y^2)/(b^2)=1 at (asectheta,\ btantheta) at the indicated points.

Find the equations of the tangent and normal to the hyperbola (x^2)/(a^2)-(y^2)/(b^2)=1 . at the point (x_0,y_0)

Find the equation of tangent and normal to the curve 2y=3-x^(2) at (1, 1).

Find the equation of the tangent to the curve (x^2)/(a^2)+(y^2)/(b^2)=1 at (x_1,\ y_1) on it.

Find the equations of the tangent drawn to the ellipse (x^(2))/(3) + y^(2) =1 from the point (2, -1 )

Find the normal to the ellipse (x^2)/(18)+(y^2)/8=1 at point (3, 2).

The line lx+my=n is a normal to the ellipse x^(2)/a^(2)+y^(2)/b^(2)=1

NAGEEN PRAKASHAN ENGLISH-APPLICATIONS OF DERIVATIVES-Exercise 6e
  1. Find the equation of normals of the following curves at the given poi...

    Text Solution

    |

  2. Find the equation of the normal to the curve y = 5x + x^2 which makes ...

    Text Solution

    |

  3. Find the equation of normal to the curve y(x-2)(x-3)-x+7=0 at that poi...

    Text Solution

    |

  4. Find the equation of normal to the curve x = at^(2), y=2at at point 't...

    Text Solution

    |

  5. Find the equation of the normal to the curve x = acostheta and y = b s...

    Text Solution

    |

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

    Text Solution

    |

  7. Find the equations of tangent and normal to the ellipse (x^2)/(a^2)...

    Text Solution

    |

  8. (i) Find the co-ordinates of the points on the curve xy = 16 at which ...

    Text Solution

    |

  9. Find the equation of normal at point (4, 3) for the hyperbola 3x^(2) ...

    Text Solution

    |

  10. Find the equation of normal to the curves x=t^2, y=2t+1 at point

    Text Solution

    |

  11. Find the point on the curve 9y^2=x^3, where the normal to the curve ma...

    Text Solution

    |

  12. If the normal at point 't' of the curve xy = c^(2)meets the curve ag...

    Text Solution

    |

  13. Find the area erea angle which made by the tangent to the curve y(2a-x...

    Text Solution

    |

  14. Find the co-ordinates of the point on the curve y=x^(3)+4x^(2)+4x-12 a...

    Text Solution

    |

  15. If the normal drawn on the curve y = x^(2) +4 at point (1, 5) makes an...

    Text Solution

    |

  16. Find the equation of normal of the curve 2y= 7x - 5x^(2) at those poin...

    Text Solution

    |