Home
Class 11
MATHS
The lenth of the latus rectum of the ell...

The lenth of the latus rectum of the ellipse `3x^2+y^2=12` is :

A

4

B

3

C

8

D

`(4)/(sqrt(3)) `

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • CONIC SECTIONS

    MODERN PUBLICATION|Exercise OBJECTIVE TYPE QUESTIONS (FILL IN THE BLANKS)|10 Videos
  • CONIC SECTIONS

    MODERN PUBLICATION|Exercise OBJECTIVE TYPE QUESTIONS (TRUE/FALSE QUESTIONS)|5 Videos
  • CONIC SECTIONS

    MODERN PUBLICATION|Exercise EXERCISE 11 (H) (LONG ANSWER TYPE QUESTIONS I )|6 Videos
  • COMPLEX NUMBERS

    MODERN PUBLICATION|Exercise CHAPTER TEST|12 Videos
  • INTRODUCTION TO THREE DIMENSIONAL GEOMETRY

    MODERN PUBLICATION|Exercise CHAPTER TEST|12 Videos

Similar Questions

Explore conceptually related problems

The length of the latus rectum of the ellipse 2x^(2) + 3y^(2) - 4x - 6y - 13 = 0 is

Find the length of the latus rectum of the ellipse x^2/36+y^2/25=1

The length of latus rectum of the ellipse 4x^(2)+9y^(2)=36 is

The length of the latus rectum of the ellipse 5x ^(2) + 9y^(2) =45 is

Find the eccentricity and the length of the latus rectum of the ellipse (x^(2))/(4) + (y^(2))/(25) = 1 .

MODERN PUBLICATION-CONIC SECTIONS -OBJECTIVE TYPE QUESTIONS (MULTIPLE CHOICE QUESTIONS )
  1. Find the equation of the lines joining the vertex of the parabola y...

    Text Solution

    |

  2. If question of the ellipse whose focus is (1,-1), then directrix the l...

    Text Solution

    |

  3. The lenth of the latus rectum of the ellipse 3x^2+y^2=12 is :

    Text Solution

    |

  4. If e is the eccentricity of the ellipse (x^(2))/(a^(2)) + (y^(2))/(b^(...

    Text Solution

    |

  5. The equation of the ellipse whose centre is at origin and which passes...

    Text Solution

    |

  6. The eccentricity of the hyperbola whose latuscrectum is 8 and conjugat...

    Text Solution

    |

  7. If the distance between the foci of a hyperbola is 16 and its eccen...

    Text Solution

    |

  8. The length of the transverse axis of a hyperbola is 7 and it passes th...

    Text Solution

    |

  9. Equation of the hyperbola with eccentricity 3/2 and foci at (±2,0) is

    Text Solution

    |

  10. The equation of the chord joining the points (x(1) , y(1)) and (x(2), ...

    Text Solution

    |

  11. The foci of the hyperbola (x^(2))/(16) -(y^(2))/(9) = 1 is :

    Text Solution

    |

  12. Centre of the circle 2x^(2) + 2y^(2) -x = 0 is :

    Text Solution

    |

  13. For the circle x^(2) + y^(2) = 25, the point (-2.5, 3.5) lies :

    Text Solution

    |

  14. (i) Centre of the circle x^(2) + y^(2) - 8x + 10 y + 12 = 0 is Cen...

    Text Solution

    |

  15. Length of the semi-latus -rectum of parabola : x^(2) = -16y is :

    Text Solution

    |

  16. The focus of the parabola y^(2) = - 4ax is :

    Text Solution

    |

  17. The length of latus-rectum of parabola x^(2) = - 16 y is :

    Text Solution

    |

  18. The eccentricity of the ellipse (x^(2))/(a^(2)) +(y^(2))/(b^(2)) = 1 ...

    Text Solution

    |

  19. If the slope of the line containg the point (2,5) and (x, - 4) is 3, t...

    Text Solution

    |

  20. If the slope of a line is not defined then the line :

    Text Solution

    |