Home
Class 12
MATHS
Let P(x(1), y(1)) and Q(x(2), y(2)), y(1...

Let `P(x_(1), y_(1))` and `Q(x_(2), y_(2)), y_(1) lt 0, y_(2) lt 0` be the end points of latus rectum of the ellipse `x^(2)+4 y^(2)=4` . The equations of parabolas with Iatus rectum P Q are

A

`x^(2)+2 sqrt(3) y=pm 3 sqrt(3)`

B

`x^(2) pm 2 sqrt(3) y=3 pm sqrt(3)`

C

`x^(2)+2 sqrt(3) y=sqrt(3) pm 3`

D

`x^(2)-2 sqrt(3) y=pm 3 sqrt(3)`

Text Solution

Verified by Experts

The correct Answer is:
B
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 length of the latus rectum of the ellipse 3 x^(2)+4y^(2)=12 is

The length of the latus rectum of the ellipse 49 x^(2)+64 y^(2)=3136

The length of the latus rectum of the ellipse 25x^(2) + 4y^(2) = 100 , is

Length of the latus rectum of the ellipse 2 x^(2)+y^(2)-8 x+2 y+7=0 is

Length of the latus rectum of the ellipse (x^(2))/(25)+(y^(2))/(9)=1 is

The length of the latus - rectum of the ellipse (x^(2))/(25) + (y^(2))/(9) = 1 is

Find the length of semi latus rectum of the ellipse (x^2)/(16)+(y^2)/(12)=1

Equation of latus recta of the ellipse 9 x^(2)+4 y^(2)-18 x-8 y-23=0 are

The equation of the latus rectum of the parabola x^(2)+4x+2y=0 is

HIMALAYA PUBLICATION-ELLIPSE-QUESTION BANK
  1. Let P be a variable point on the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2...

    Text Solution

    |

  2. If (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 is an ellipse and tangent at any ...

    Text Solution

    |

  3. Let P(x(1), y(1)) and Q(x(2), y(2)), y(1) lt 0, y(2) lt 0 be the end p...

    Text Solution

    |

  4. The normal at a point P on the ellipse x^(2)+4y^(2)=16 meets the x-axi...

    Text Solution

    |

  5. The line passing through the extremity A of the major axis and extremi...

    Text Solution

    |

  6. A focus of an ellipse is at the origin. The directrix is the line x=4 ...

    Text Solution

    |

  7. The ellipse x^(2)+4 y^(2)=4 is inscribed in a rectangle aligned with c...

    Text Solution

    |

  8. Equation of the ellipse whose axes are the axes of co-ordinates and wh...

    Text Solution

    |

  9. The foci of the ellipse 25(x+1)^(2)+9(y+2)^(2)=225 are at

    Text Solution

    |

  10. The eccentricity of the ellipse 9 x^(2)+5 y^(2)-30 y=0 is

    Text Solution

    |

  11. The eccentricity of an ellipse with centre at the origin which meets t...

    Text Solution

    |

  12. The equation to the ellipse (referred to its axes as the axes of x and...

    Text Solution

    |

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

    Text Solution

    |

  14. The line L x+m y+n=0 is a normal to the ellipse (x^(2))/(a^(2))+(y^(2)...

    Text Solution

    |

  15. The angle between the pair of tangents drawn from the point (1,2) to t...

    Text Solution

    |

  16. How many real tangents can be drawn to the ellipse 5 x^(2)+9 y^(2)=32 ...

    Text Solution

    |

  17. If two tangents drawn to the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1...

    Text Solution

    |

  18. The foci of the conic 25 x^(2)+16 y^(2)-150 x=175 are

    Text Solution

    |

  19. The equation of the ellipse whose distance between the foci is equal t...

    Text Solution

    |

  20. The eccentricity of the ellipse x^(2)+4 y^(2)+8 y-2 x+1=0 Is

    Text Solution

    |