Home
Class 11
MATHS
Find the eccentricity of the ellipse who...

Find the eccentricity of the ellipse whose
(i) latus rectum is half of minor axis
(ii) minor axis is half of major axis.

Text Solution

Verified by Experts

The correct Answer is:
(i) `(sqrt(3))/(2)` (ii) `(sqrt(3))/(2)`
Promotional Banner

Topper's Solved these Questions

  • CONIC SECTION

    NAGEEN PRAKASHAN|Exercise Exercise 11D|15 Videos

  • CONIC SECTION

    NAGEEN PRAKASHAN|Exercise Exercise 11E|5 Videos

  • CONIC SECTION

    NAGEEN PRAKASHAN|Exercise Exercise 11B|23 Videos

  • COMPLEX NUMBERS AND QUADRATIC EQUATION

    NAGEEN PRAKASHAN|Exercise MISCELLANEOUS EXERCISE|20 Videos

  • INTRODUCTION OF THREE DIMENSIONAL GEOMETRY

    NAGEEN PRAKASHAN|Exercise Miscellaneous Exercise|6 Videos

Similar Questions

Explore conceptually related problems

Find the eccentricity of an ellipse whose latus rectum in one half of its major axis.

Find the eccentricity of the ellipse whose latus rectum is one third of the major axis.

Find the eccentricity of an ellipse if its latus rectum is one-third of its major axis.

Find the eccentricity of an ellipse if its latus rectum is equal to one-half of its major axis.

the eccentricity of an ellipse (x^(2))/(a^(2))+(y^(2))=1 whose latus rectum is half of its minor axes , is

Find the equation of the ellipse whose major axis is 8 and minor axis is 4.

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)

If latus-rectum = semi-minor axis, then e=

NAGEEN PRAKASHAN-CONIC SECTION-Exercise 11C
  1. Find the equation of the ellipse whose co-ordinates of focus are (1,2)...

    Text Solution

    |

  2. Find the equation of the ellipse whose foci are (pm4,0) and eccentrici...

    Text Solution

    |

  3. Find the equation of the ellipse whose foci are (0,pm3) and eccentrici...

    Text Solution

    |

  4. Find the equation of the ellipse whose vertices are (pm6,0) and foci a...

    Text Solution

    |

  5. Find the equation of the ellipse whose vertices are (0,pm4) and foci a...

    Text Solution

    |

  6. Find the equation of the ellipse whose vertices are (pm2,0) and foci a...

    Text Solution

    |

  7. Find the equation of the ellipse whose major axis is 12 and foci are (...

    Text Solution

    |

  8. If the eccentricity of an ellipse is zero, then show that it will be a...

    Text Solution

    |

  9. Find the equation of the ellipse whose foci are (pm2,0) and eccentrici...

    Text Solution

    |

  10. Find the equation of the ellipse whose foci are (0,pm1) and eccentrici...

    Text Solution

    |

  11. Find the equation of the ellipse whose foci are (pm3,0) and it passes ...

    Text Solution

    |

  12. Find the eccentricity of the ellipse whose (i) latus rectum is half ...

    Text Solution

    |

  13. Find the equation of the ellipse which passes through the points (3,1)...

    Text Solution

    |

  14. Find the eccentricity of the ellipse whose latus rectum is one third o...

    Text Solution

    |

  15. Find the equation of the ellipse whose minor aixs is equal to the dist...

    Text Solution

    |

  16. The ends of 20 cm rope are at two points 16 cm apart. Find the eccentr...

    Text Solution

    |

  17. A rod AB of length 30 cm moves such that its ends always touching the ...

    Text Solution

    |

  18. Show that the point (9,4) lies outside the ellipse (x^(2))/(10)+(y^(...

    Text Solution

    |

  19. If the sum of distances of a moving point from the points (ae, 0) and ...

    Text Solution

    |

  20. If the focal distance of one ed of minor axis of an ellipse is k and d...

    Text Solution

    |