Home
Class 12
MATHS
Find the equations of tangents and norma...

Find the equations of tangents and normals to the ellipse `2x^2+3y^2=6` at the end points of the latera recta.

Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    MBD PUBLICATION|Exercise QUESTION BANK|76 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    MBD PUBLICATION|Exercise QUESTION TYPE|4 Videos

Similar Questions

Explore conceptually related problems

Find the equation of tangent and normal to the ellipse x^2/16+y^2/9=1 at the point (8/3, sqrt5 ).

Find the equation of tangent and normal to the hyperbola x^2-6y^2=3 at the point (-3, -1).

Find the equation of the tangent and normal to the circle x^2+y^2=25 at the point (3, -4).

Find the equation of tangents and normals to the parabola y^2=4ax at the ends of its latus rectum.

Find the equations of tangent and normal to the curve y= e^(x) at x= 0.

Find the equation of the tangent and normal, to the circle, x^2+y^2-3x+4y-31=0 at the point (-2, 3).

Find the equations of the tangent and normal to the curve y= (log x)^2 at point x = 1/e .

Find the equation to the tangent and normal tothe parabola y^2 = 4ax at the point (at^2, 2at) .

Find the equtions of tangent and normals to the parabola y^2=4ax at the points where it is cut by the line y=3x-a

MBD PUBLICATION-CONIC SECTIONS-QUESTION BANK
  1. obtain the condition that the line lx+my+n=0 will touch the parabola y...

    Text Solution

    |

  2. Prove that the line 4x-2y-1=0 touches the parabola whose focus it at (...

    Text Solution

    |

  3. If (-2,0) and (2,0) are the two vertices of a triangle with perimeter ...

    Text Solution

    |

  4. A point in a plane is such that the sum of its distances from the poin...

    Text Solution

    |

  5. Obtain the equation of the elllipse which has its centre at origin a f...

    Text Solution

    |

  6. Find the equation of the ellipse which has its centre at (-1,4)b eccen...

    Text Solution

    |

  7. Find the equation of tangent and normal to the ellipse x^2/16+y^2/9=1 ...

    Text Solution

    |

  8. Find the equations of tangents and normals to the ellipse 2x^2+3y^2=6 ...

    Text Solution

    |

  9. Prove that the line y=2x+5 is a tangent to the ellipse 9x^2+4y^2=36 an...

    Text Solution

    |

  10. Find the equation of the tangent to the ellipse 4x^2+5y^2=20 which are...

    Text Solution

    |

  11. Find the equation of the tangent to the ellipse 4x^2+9y^2=1 which are ...

    Text Solution

    |

  12. Prove that the line xcosalpha+ysinalpha=p touches the ellipse(x^2/a^2+...

    Text Solution

    |

  13. Prove that the product of the distances of the foci from any tangent t...

    Text Solution

    |

  14. Find the equation of the hyperbola which has its foci at (0,0) and (0,...

    Text Solution

    |

  15. Find the equation of the hyperbola with foci at (+-3,0) and directrice...

    Text Solution

    |

  16. Find the foci and latus rectum of the hyperbola whose transverse and c...

    Text Solution

    |

  17. Find the equation of tangent and normal to the hyperbola x^2-6y^2=3 at...

    Text Solution

    |

  18. Find the equation of the tangent to the hyperbola 4x^2-11y^2=1 which a...

    Text Solution

    |

  19. Find the equation of tangents to hyperbola 9x^2-16y^2=144 which are pe...

    Text Solution

    |

  20. Prove that the line x + y + 2 = 0 touches the hyperbola 3x^2 - 5y^2 = ...

    Text Solution

    |