Home
Class 12
MATHS
One of the focus of ellipse (x^(2))/(a^(...

One of the focus of ellipse `(x^(2))/(a^(2)) + (y^(2))/(b^(2)) = 1` is `(0.5 sqrt(3))` and difference in lengths of major and mirror axis is `10` units. Then length of latus rectum is

A

3

B

5

C

10

D

15

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • JEE MAINS

    JEE MAINS PREVIOUS YEAR|Exercise Physics|30 Videos
  • JEE MAIN 2024 ACTUAL PAPER

    JEE MAINS PREVIOUS YEAR|Exercise Question|598 Videos
  • JEE MAINS 2020

    JEE MAINS PREVIOUS YEAR|Exercise MATHEMATICS|250 Videos

Similar Questions

Explore conceptually related problems

The given equation of the ellipse is (x^(2))/(81) + (y^(2))/(16) =1 . Find the length of the major and minor axes. Eccentricity and length of the latus rectum.

Find the eccentricity of an ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 whose latus rectum is half of its major axis.(a>b)

The length of latus rectum AB of ellipse (x^(2))/4+(y^(2))/3=1 is :

For the ellipse 3x ^(2) + 4y ^(2) =12, the length of latus rectum is

If eccentricity of the ellipse (x^(2))/(a^(2)+1)+(y^(2))/(a^(2)+2)=1 is (1)/(sqrt6) , then the ratio of the length of the latus rectum to the length of the major axis is

A parabola is drawn whose focus is one of the foci of the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 (where a>b) and whose directrix passes through the other focus and perpendicular to the major axes of the ellipse.Then the eccentricity of the ellipse for which the length of latus-rectum of the ellipse and the parabola are same is

A parabola is drawn with focus at one of the foci of the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1. If the latus rectum of the ellipse and that of the parabola are same,then the eccentricity of the ellipse is 1-(1)/(sqrt(2)) (b) 2sqrt(2)-2sqrt(2)-1( d) none of these

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

in an ellipse with centre at the origin , if the difference of the lengths of major axis and minor axis is 10 and one of the foci is at (0,5,sqrt(3)) , then length of its latus rectum is

JEE MAINS PREVIOUS YEAR-JEE MAINS-Physics
  1. One of the focus of ellipse (x^(2))/(a^(2)) + (y^(2))/(b^(2)) = 1 is (...

    Text Solution

    |

  2. The moment of inertia of a solid sphere, about an axis parallel to its...

    Text Solution

    |

  3. A load of mass M kg is suspended from a steel wire of length 2 m and r...

    Text Solution

    |

  4. In the value circuit, C=(sqrt(3))/(2)muF,R2=20omega, L=sqrt(3)/(10)H, ...

    Text Solution

    |

  5. An ideal gas is enclosed in a cylinder at pressure of 2 atm and temper...

    Text Solution

    |

  6. In the figure, given that V(BB) supply can vary from 0 to 5.0V,V(CC)=5...

    Text Solution

    |

  7. In the circuit shown, find C if the effective capacitance of the whole...

    Text Solution

    |

  8. An alpha-particle of mass m suffers 1-dimentinal eleastic collision wi...

    Text Solution

    |

  9. A 10 m long horizontal wire extends from North east ro South East. It ...

    Text Solution

    |

  10. To double the covering range of a TV transmittion tower, its height sh...

    Text Solution

    |

  11. A plano-convex lens (focal length f2, refractive indexmu(2), radius of...

    Text Solution

    |

  12. A vertical closed cylinder is separated into two parts by a frictionle...

    Text Solution

    |

  13. Two satellites, A and B, have masses m and 2m respectively. A is in a ...

    Text Solution

    |

  14. A long cylinderical vessel is half filled with a liquid. When the vess...

    Text Solution

    |

  15. A block kept on a rough inclined plane ,as shown in the figure, remain...

    Text Solution

    |

  16. In a Frank-Hertz experiment,an electron of energy 5.6eV passes through...

    Text Solution

    |

  17. A particle of mass 20 g is released with an initial velocity 5m//s alo...

    Text Solution

    |

  18. A galavanometer, whose resistance is 50 ohm has 25 divisions in it. Wh...

    Text Solution

    |

  19. A soap bubble,blown by a mechanical pump at the mouth of a tube, incre...

    Text Solution

    |

  20. In the given circuit diagram, the currents, I1=-0.3A,I4=0.8A and I5=0....

    Text Solution

    |

  21. A resonance tube is old and has jagged end. It is still used in the la...

    Text Solution

    |