Home
Class 11
MATHS
If the eccentricity of an ellipse is (5)...

If the eccentricity of an ellipse is `(5)/(8)` and ht distance between its foci is 10, then find latus rectum of the ellipse.

Text Solution

Verified by Experts

The correct Answer is:
`(39)/(4)`
Promotional Banner

Topper's Solved these Questions

  • CONIC SECTIONS

    KUMAR PRAKASHAN|Exercise SOLUTIONS OF NCERT EXEMPLAR PROBLEMS (LONG ANSWER TYPE QUESTIONS)|10 Videos

  • CONIC SECTIONS

    KUMAR PRAKASHAN|Exercise SOLUTIONS OF NCERT EXEMPLAR PROBLEMS (TRUE/FALSE)|8 Videos

  • CONIC SECTIONS

    KUMAR PRAKASHAN|Exercise TEXTBOOK ILLUSTRATIONS FOR PRACTICE WORK|19 Videos

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    KUMAR PRAKASHAN|Exercise (Questions of Module) (Knowledge Test :)|15 Videos

  • INTRODUCTION TO THREE DIMENSIONAL GEOMETRY

    KUMAR PRAKASHAN|Exercise QUESTION OF MODULE (KNOWLEDGE TEST :)|12 Videos

Similar Questions

Explore conceptually related problems

........... is the eccentricity of ellipse if distance between focii is 6 unit and length of minor axis is 8 unit .

Eccentricity e of ellipse is .............if length of minor axis is distance between its focii.

Let’s find the distance between two points A(4, 3) and B(8, 6)

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))/(36)+(y^(2))/(16)=1

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

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))/(16)+(y^(2))/(9)=1

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))/(25)+(y^(2))/(100)=1

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

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))/(100)+(y^(2))/(400)=1

KUMAR PRAKASHAN-CONIC SECTIONS-SOLUTIONS OF NCERT EXEMPLAR PROBLEMS (SHORT ANSWER TYPE QUESTIONS)
  1. IF a circle passes through the point (0,0) (a,0),(0,b) then find the ...

    Text Solution

    |

  2. Find the equation of the circle which touches X - axis and whose centr...

    Text Solution

    |

  3. If the lines 3x - 4y + 4 = 0 and 6x - 8y - 7 = 0 are tangents to a cir...

    Text Solution

    |

  4. Find the equation of a circle which touches both the axes and the line...

    Text Solution

    |

  5. If one end a diameter of the circle x^(2) + y^(2) - 4x - 6y + 11 = 0 i...

    Text Solution

    |

  6. Find the equation of the circle having (1, -2) as its centre and passi...

    Text Solution

    |

  7. Find k if line y = sqrt(3)x + k touches the circle x^(2) + y^(2) = 16.

    Text Solution

    |

  8. Find the equation of a circle concentric with the circle x^(2) + y^(2)...

    Text Solution

    |

  9. If the latus rectum of an ellipse is equal of half of minor axis, then...

    Text Solution

    |

  10. Eccentricity of ellipe 9x^(2) + 25y^(2) = 225 is …….

    Text Solution

    |

  11. If the eccentricity of an ellipse is (5)/(8) and ht distance between i...

    Text Solution

    |

  12. …….is the equation of ellipse with eccentricity e = (2)/(3). Length of...

    Text Solution

    |

  13. Find the distance between the directrices of th ellipse (x^(2))/(36) +...

    Text Solution

    |

  14. Find the co-ordinates of a point on the parabola y^(2) = 8x whose foca...

    Text Solution

    |

  15. Find the length of the line-segment joining the vertex of the parabola...

    Text Solution

    |

  16. If the point (0,4) and (0,2) are respectively the vertex and focus of ...

    Text Solution

    |

  17. If the line y = mx + 1 is tangent to the parabola y^(2) = 4x then find...

    Text Solution

    |

  18. If the distance between the foci of a hyperbola is 16 and its eccentr...

    Text Solution

    |

  19. Find the eccentricity of the hyperbola 9y^(2) - 4x^(2) = 36.

    Text Solution

    |

  20. Find the equation of the hyperbola with eccentricity (3)/(2) and foci ...

    Text Solution

    |