Home
Class 14
MATHS
If the major axis of an ellipse lies on ...

If the major axis of an ellipse lies on the Y-axis,its minor axis lies on the X-axis and the length of its latus rectum is equal to `(2)/(3)` of its minor axis,then the eccentricity of that ellipse is

A

`(1)/(2)`

B

`(sqrt(3))/(2)`

C

`(3)/(4)`

D

`(sqrt(15))/(4)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • CONIC SECTION

    PUNEET DOGRA|Exercise PREV YEAR QUESTIONS |37 Videos
  • COMPLEX NUMBER

    PUNEET DOGRA|Exercise PREVIOUS YEAR QUESTIONS|87 Videos
  • DEFINITE INTEGRATION

    PUNEET DOGRA|Exercise PREVIOUS YEAR QUESTIONS |65 Videos

Similar Questions

Explore conceptually related problems

The length of the latus rectum of an ellipse is 1/3 of the major axis. Its eccentricity is

If the latusrectum of an ellipse is equal to half of minor axis,find its eccentricity.

If the latursrectum of an ellipse is equal to half of its minor-axis, then find its eccentricity.

If latus-rectum is one-third minor axis, then eccentricity of the ellipse is

If the latus rectum of an ellipse is equal to the half of minor axis,then find its eccentricity.

The latus rectum of an ellipse is half of its minor axis. Its eccentricity is :

If the latusrectum of an ellipse is equal to one half of its minor axis , then eccentricity is equal to

If the latus rectum of an ellipse is equal to half of the minor axis, then what is its eccentricity ?

PUNEET DOGRA-CONIC SECTION-PREV YEAR QUESTIONS
  1. If the major axis of an ellipse lies on the Y-axis,its minor axis lies...

    Text Solution

    |

  2. A truck covered a distance of 360km in 8 hours. A car covers the same ...

    Text Solution

    |

  3. What would be the simple interest accrued in 4 years on a principal of...

    Text Solution

    |

  4. Two parabolas y^(2)=4ax and x^(2)=4ay intersect at

    Text Solution

    |

  5. Distance between focal distance remains constant for an ellipse, that ...

    Text Solution

    |

  6. The second degree equation x^(2) + 4y - 2x -4y + 2= 0 represents

    Text Solution

    |

  7. What is the equation of the ellipse whose vertices are (pm5, 0) and fo...

    Text Solution

    |

  8. The position of the point (1, 2) relative to the ellipse 2x^(2)+7y^(2)...

    Text Solution

    |

  9. The equation of the ellipse whose centre is at origin, major axis is a...

    Text Solution

    |

  10. Geometrically Re (z^(2)-i)=2. where i = sqrt(-1) and Re is the real pa...

    Text Solution

    |

  11. A man running round a racecourse notes that the sum of the distance of...

    Text Solution

    |

  12. What is the equation of the ellipse having foci (±2, 0) and the eccent...

    Text Solution

    |

  13. What is the equation of the hyperbola having latus rectum and eccentri...

    Text Solution

    |

  14. What is the eccentricity of rectangular hyperbola?

    Text Solution

    |

  15. If the ellipse 9x^(2)+16y^(2)=144 intercepts the line 3x+ 4y = 12. th...

    Text Solution

    |

  16. Consider the parabola y = x^(2) + 7x + 2 and the straight line y = 3x ...

    Text Solution

    |

  17. Consider the parabola y = x^(2) + 7x + 2 and the straight line y = 3x ...

    Text Solution

    |

  18. What is the curve which passes through the point (1,1) and whose slope...

    Text Solution

    |

  19. Consider any point P on the ellipse (x^(2))/(25)+(y^(2))/(9)=1 in the...

    Text Solution

    |

  20. The eccentricity of the hyperbola 16x^(2)-9y^(2)=1 is?

    Text Solution

    |

  21. The point on the parabola y^(2) = 4ax nearest to the focus has its abs...

    Text Solution

    |