Home
Class 11
MATHS
In an ellipse, the distance between its ...

In an ellipse, the distance between its foci is 6 and minor axis is 8. Then, its eccentricity is

A

`3/5`

B

`5/3`

C

`4/5`

D

`5/4`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • CONIC SECTIONS

    JBD PUBLICATION|Exercise EXAMPLE|35 Videos
  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    JBD PUBLICATION|Exercise EXAMPLE|36 Videos
  • INTRODUCTION TO THREE DIMENSIONAL GEOMETRY

    JBD PUBLICATION|Exercise EXAMPLE|18 Videos

Similar Questions

Explore conceptually related problems

In an ellipse, the distances between its foci is 6 and minor axis is 8 . Then its eccentricity is

If the length of the major axis of the ellipse is three times the length of its minor axis, then its eccentricity is :

If the distance between the foci of an ellipse is equal to length of minor axis, then its eccentricity is

Find the equation of a hyperbola whose vertices lie on y-axis, centre is at the origin, the distance between the foci is 16 and eccentricity is sqrt2 .

If, in a hyperbola, the distance between the foci is 10 and the transverse axis has length 8, then the length of its latus-rectum is:

The angle between the line joining the foci of an ellipse to one particular extremity of the minor axis is 90^@ . The eccentricity of the ellipse is :

If the length of the major axis of an ellipse in 3 times the length of minor axis , then its eccentricity is

Statement 1 : In an ellipse, the sum of the distances between foci is always less than the sum of focal distances of any point on it. Statement 2 : The eccentricity of any ellipse is less than 1.

Find the standard equation of hyperbola in each of the following cases: (i) Distance between the foci of hyperbola is 16 and its eccentricity is sqrt2. (ii) Vertices of hyperbola are (pm4,0) and foci of hyperbola are (pm6,0) . (iii) Foci of hyperbola are (0,pmsqrt(10)) and it passes through the point (2,3). (iv) Distance of one of the vertices of hyperbola from the foci are 3 and 1.

JBD PUBLICATION-CONIC SECTIONS-EXAMPLE
  1. In an ellipse, the distance between its foci is 6 and minor axis is 8....

    Text Solution

    |

  2. In each of the following find the equation of the circle with centre (...

    Text Solution

    |

  3. Find the equation of the circle with centre (2, 2) and passes through ...

    Text Solution

    |

  4. Find the equation of a circle whose centre is (3,-2) and has an area ...

    Text Solution

    |

  5. Find the equation of a circle having centre at point C(-2,3) and touch...

    Text Solution

    |

  6. In each of the following find the centre and radius of the circles (x+...

    Text Solution

    |

  7. In each of the following circles, find the centre and radius. x^2+y^...

    Text Solution

    |

  8. Does the point (-2.5, 3.5) lie inside, outside or on the circle x^2 + ...

    Text Solution

    |

  9. In each of the following find the coordinates of the focus , axis of t...

    Text Solution

    |

  10. Find the equation of the parabola that satisfies given conditions : ...

    Text Solution

    |

  11. Find the coordinates of a point on the parabola y^2=18x, where the ord...

    Text Solution

    |

  12. Find the equation for ellipse that satisfies the given conditions Ve...

    Text Solution

    |

  13. Find the eqation for the ellipse that satisfies the given conditions :...

    Text Solution

    |

  14. Find the equation for the elllipse that satisfy the given conditions: ...

    Text Solution

    |

  15. Find the equations of the hyperbola satisfying the given conditions. ...

    Text Solution

    |

  16. Find the equations of a circle having radius 5 units and the centre as...

    Text Solution

    |

  17. LL' is the latus rectum of a parabola x^2=-8y. Find the coordinates of...

    Text Solution

    |

  18. Find the area of the triangle formed by the lines joining the vertex o...

    Text Solution

    |

  19. Find the equation of a hyperbola whose vertices lie on y-axis, centre ...

    Text Solution

    |

  20. Find the equation of the hyperbola satisfying the given conditions. Fo...

    Text Solution

    |

  21. In each of the following, find the equations of the hyperbola satisfyi...

    Text Solution

    |