Home
Class 12
MATHS
Find the lengths of axes of the ellipse ...

Find the lengths of axes of the ellipse whose eccentricity is `(3)/(5)` and the distance between focus and directrix is 16 .

Text Solution

Verified by Experts

The correct Answer is:
30 unit and 24 unit
Promotional Banner

Topper's Solved these Questions

  • ELLIPSE

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Exams ( A M . C . Q )|5 Videos
  • ELLIPSE

    CHHAYA PUBLICATION|Exercise Sample Qusettions for competitive Exams (B Integer Answer Type )|5 Videos
  • ELLIPSE

    CHHAYA PUBLICATION|Exercise Very Short Answer Type Qustions|33 Videos
  • DIRECTION COSINES AND DIRECTION RATIOS

    CHHAYA PUBLICATION|Exercise Assertion-Reason Type|2 Videos
  • GENERAL SOLUTIONS OF TRIGNOMETRIC EQUATIONS

    CHHAYA PUBLICATION|Exercise Assertion-Reason Type-|2 Videos

Similar Questions

Explore conceptually related problems

Taking the major and minor axes as the axes of coordinates, find the equation of the ellipse whose eccentricity is (sqrt(7)/(4)) and distance between the directrices is (16)/(sqrt(7))

Find the equation of the ellipse whose eccentricity is (sqrt(7))/(4) , focus is (0, -sqrt(7)) and directrix is sqrt(7) y + 16 = 0

Taking major and minor axes as x and y - axes respectively , find the equation of the ellipse whose coordinates of between the foci is 2 and the distance between the directrices is 4 .

Taking major and minor axes as x and y - axes respectively , find the equation of the ellipse whose eccentricity is (1)/(sqrt(2)) and the sum of the squares of major and minor axes is 24 .

Find the equation of the ellipse whose eccentricity is (1)/(2) , focus is (2,0) anddirectix is x - 8 = 0

Taking major and minor axes as x and y-axes respectively , find the eqation of the ellipse Whose eccentricity is (3)/(5) and coordinates of foci are (pm 3, 0 )

Find the equation of the ellipse whose eccentricity is (1)/(2) , focus is (-1,1) , directrix is x - y + 3 = 0 .

Taking major and minor axes as x and y - axes respectively , find the equation of the ellipse whose eccentricity is sqrt((2)/(3)) and the length of semi-latus rectum is 2 unit

Taking major and minor axes as x and y - axes respectively , find the equation of the ellipse whose eccentricity is (1)/(sqrt(2)) and length of latus rectum 3 .

Find the equation of the hyperbola whose eccentricity is (5)/(4) , focus is (-5,0) and directrix is the line 5x + 16 = 0.

CHHAYA PUBLICATION-ELLIPSE-Short Answer Type Questios
  1. Taking major and minor axes as x and y - axes respectively , find the ...

    Text Solution

    |

  2. Taking major and minor axes as x and y - axes respectively , find the ...

    Text Solution

    |

  3. Find the lengths of axes of the ellipse whose eccentricity is (3)/(5) ...

    Text Solution

    |

  4. (1.3) and (4,-1) are two foci of an ellipse whose eccentricity is ...

    Text Solution

    |

  5. The length of the latus rectum of an ellipse is 8 unit and that of th...

    Text Solution

    |

  6. Taking major and minor axes along y and x-axes, find the equation of t...

    Text Solution

    |

  7. Taking major and minor axes along y and x-axes, find the equation of t...

    Text Solution

    |

  8. Taking major and minor axes along y and x-axes, find the equation of t...

    Text Solution

    |

  9. Taking major and minor axes along y and x-axes, find the equation of t...

    Text Solution

    |

  10. Taking major and minor axes along y and x-axes, find the equation of t...

    Text Solution

    |

  11. Find the equation of the ellipse whose eccentricity is (1)/(2) ...

    Text Solution

    |

  12. Find the equation of the ellipse whose eccentricity is (sqrt(7))...

    Text Solution

    |

  13. Find the equation of the ellipse whose eccentricity is (1)/(2) ...

    Text Solution

    |

  14. Find the equation of the ellipse whose focus is (3, 4) , directr...

    Text Solution

    |

  15. A point moves so that its distance from (0,-3) is (1)/(sqrt(2)) tim...

    Text Solution

    |

  16. Find the equation of the ellipse whose major axis is parallel to x - a...

    Text Solution

    |

  17. Find the equation of the ellipse whose major axis is parallel to x - a...

    Text Solution

    |

  18. Find the equation of the ellipse, for which the foci are (0,1) and (0...

    Text Solution

    |

  19. The eccentricity of an ellipse is (1)/(2) , focus is S (0,0) and the ...

    Text Solution

    |

  20. The lengths of major and minor axes of an ellipse are 8 and 6 and thei...

    Text Solution

    |