Home
Class 12
MATHS
The normal to the ellipse x^(2)+4 y^(2)=...

The normal to the ellipse `x^(2)+4 y^(2)=20` at the point `(4,-1)` is given by

A

`x+2 y=6`

B

`x+2 y=2`

C

`y=y+5`

D

`x+y=3`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIATION

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|390 Videos
  • HYPERBOLA

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|162 Videos

Similar Questions

Explore conceptually related problems

The foci of the ellipse 4 x^(2)+3 y^(2)=24 are the points

Equation of the normal to the ellipse x^(2)+2 y^(2)=4 at the point ((pi)/(4))^ is

The normal to hyperbola 4 y^(2)-5 x^(2)=20 at the point (-4,5) is given by

Area of the ellipse x^(2)/9+y^(2)/4=1 is

The equation of the normal to the circle x^(2)+y^(2)-2 x-2 y-2=0 is at the point (3,1) on it is

The equations of the tangents to the ellipse x^(2)+4 y^(2)=25 at the point whose ordinate is 2 is

The auxilary circle of the ellipse 9 x^(2)+4 y^(2)=1 is

The normal at a point P on the ellipse x^(2)+4y^(2)=16 meets the x-axisat Q. If M is the mid-point of the line segment PQ, then the locus of M intersects the latus-rectum of the given ellipse at the points :

The equation of the normal to the ellipse (x^(2))/(10)+(y^(2))/(5)=1 at (sqrt(8), 1) is

If the tangent to the ellipse x^2 +4y^2=16 at the point is normal to the circle x^2 +y^2-8x-4y=0 then theta is equal to

HIMALAYA PUBLICATION-ELLIPSE-QUESTION BANK
  1. The equations of the tangents to the ellipse x^(2)+4 y^(2)=25 at the p...

    Text Solution

    |

  2. The equation of the normal to the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(...

    Text Solution

    |

  3. The normal to the ellipse x^(2)+4 y^(2)=20 at the point (4,-1) is give...

    Text Solution

    |

  4. If the line y cos alpha=x sin alpha+a cos alpha be a tangtnt to the c...

    Text Solution

    |

  5. The equation of the normal to the ellipse (x^(2))/(10)+(y^(2))/(5)=1 a...

    Text Solution

    |

  6. Equation of the normal to the ellipse x^(2)+2 y^(2)=4at the point ((pi...

    Text Solution

    |

  7. The equation of the tangent to the parabola y^(2)=16 x at (1,4) is

    Text Solution

    |

  8. The tangent of the ellipse x^(2)+5 y^(2)=14 at (3,-1) is given by

    Text Solution

    |

  9. If any tangent to (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 makes intercepts p...

    Text Solution

    |

  10. The tangent making an angle 60^(circ) with the major axis and touching...

    Text Solution

    |

  11. If the minor axis of an ellipse subtends an angle60^(circ) at each foc...

    Text Solution

    |

  12. The auxilary circle of the ellipse 9 x^(2)+4 y^(2)=1 is

    Text Solution

    |

  13. P is any point on the ellipse 9x^(2) + 36y^(2) = 324 whose foci are S ...

    Text Solution

    |

  14. Let P be a variable point on the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2...

    Text Solution

    |

  15. Eccentric angle of a point on the ellipse x^(2)+3 y^(2)=6 at a distanc...

    Text Solution

    |

  16. The eccentricity of an ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 whose...

    Text Solution

    |

  17. The distance of the point theta^(prime) on the ellipse (x^(2))/(a^(2)...

    Text Solution

    |

  18. The number of real tangents that can be drawn to the ellipse 3 x^(2)+5...

    Text Solution

    |

  19. The number of tangents from (4,7) to the ellipse (x^(2))/(16)+(y^(2))/...

    Text Solution

    |

  20. S(1) and S(2) are the foci of an ellipse and B is the end of the minor...

    Text Solution

    |