Home
Class 11
MATHS
The length of the latus rectum of the el...

The length of the latus rectum of the ellipse `2x^2+4y^2=16` is

A

`sqrt2` units

B

2 units

C

`2sqrt2` units

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • MULTIPLE AND SUB-MULTIPLE ANGLES

    PATHFINDER|Exercise QUESTION BANK|21 Videos

  • PERMUTATION AND COMBINATION

    PATHFINDER|Exercise QUESTION BANK|223 Videos

Similar Questions

Explore conceptually related problems

In each of the Find the coordinates of the foci, the vertices, the length of major axis, the minor axis, the eccentricity and the length of the latus rectum of the ellipse. 16x^(2)+y^(2)=16

In each of the Find the coordinates of the foci, the vertices, the length of major axis, the minor axis, the eccentricity and the length of the latus rectum of the ellipse. 36x^(2)+4y^(2)=144

In each of the Find the coordinates of the foci, the vertices, the length of major axis, the minor axis, the eccentricity and the length of the latus rectum of the ellipse. 4x^(2)+9y^(2)=36

The length of the latus rectum of the ellipse 16x^(2) + 25y^(2) = 400 is:

The length of latus rectum of the ellipse 25x^(2) + 9y ^(2) = 225 is _

In each of the Find the coordinates of the foci, the vertices, the length of major axis, the minor axis, the eccentricity and the length of the latus rectum of the ellipse. (x^(2))/(4)+(y^(2))/(25)=1

find the length of the latus rectum of the ellipse (x^(2))/(9) +(y^(2))/(16) = 1

The length of latus rectum of the ellipse 9x^(2) + 25y^(2) = 225 is _

In each of the Find the coordinates of the foci, the vertices, the length of major axis, the minor axis, the eccentricity and the length of the latus rectum of the ellipse. (x^(2))/(49)+(y^(2))/(36)=1

Let L be the end of a latus rectum of the ellipse 2x^(2) +4y^(2) =1 and it is in the third quadrandt, then the eccentric angle of L is-

PATHFINDER-PARABOLA, ELLIPSE AND HYPERBOLA-QUESTION BANK
  1. The pt. (2+4costheta, 1+2sintheta) represents the parametric coordinat...

    Text Solution

    |

  2. If eccentricities of the ellipse x^2/36+y^2/25=1 and x^2/a^2+y^2/b^2=1...

    Text Solution

    |

  3. The length of the latus rectum of the ellipse 2x^2+4y^2=16 is

    Text Solution

    |

  4. The coordinates of the foci of the ellipse 20x^2+4y^2=5 are

    Text Solution

    |

  5. The length of the semi-major axis of an ellipse is 13 and its eccentri...

    Text Solution

    |

  6. The eccentricy of the ellipse x^2+4y^2+2x-24y+33=0 is

    Text Solution

    |

  7. find the length of the latus rectum of the ellipse (x^(2))/(9) +(y^(...

    Text Solution

    |

  8. The coordinates of the point on the ellipse 9x^(2) + 16y^(2) = 144 ...

    Text Solution

    |

  9. If the distance between the foci of an ellipse is equal to the length ...

    Text Solution

    |

  10. Find the eccentricity, the length of latus rectum and the centre of e...

    Text Solution

    |

  11. Find the eccentricity of the ellipse if the length of minor axis ...

    Text Solution

    |

  12. The eccentricity of an ellipse whose distance between the foci is 4 an...

    Text Solution

    |

  13. Taking major and minor axes as x and y - axes respectively , find the ...

    Text Solution

    |

  14. Find the equation of the ellipse whose foci (0,+-4) and the equation o...

    Text Solution

    |

  15. The eccentricity of an ellipse is (2)/(3) focus is S(5,4) and the ma...

    Text Solution

    |

  16. Find the equation to the ausiliary circle of the ellipse 4x^(2) +9...

    Text Solution

    |

  17. The coordinates of the focus of an ellipse are (1,2) and eccentricity...

    Text Solution

    |

  18. Find the length of the latus rectum, eccentricity, coordinates of cent...

    Text Solution

    |

  19. Find the equation of the ellipse whose vertices are (-3,5) and (9,5) a...

    Text Solution

    |

  20. A line segment of length (a+b) units moves on a plane in such a way th...

    Text Solution

    |