Home
Class 12
MATHS
Find the latus rectum , eccentricity and...

Find the latus rectum , eccentricity and the coordinates of the foci of the ellipse
`9x^(2) + 5y^(2) + 30 y = 0 `

Text Solution

Verified by Experts

The correct Answer is:
Length of latus rectum `=(10)/(3) ,e =(2) /(3) ` and coordinates of foci are (0,-1) , (0,-5)
Promotional Banner

Topper's Solved these Questions

  • ELLIPSE

    CHHAYA PUBLICATION|Exercise Short Answer Type Questios|48 Videos

  • ELLIPSE

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

  • ELLIPSE

    CHHAYA PUBLICATION|Exercise M . C . Q|20 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

The coorinates of the foci of the ellipse 9x^(2) +5y^(2) +30y =0 are-

Find the coordinates of foci of the ellipse 5 x^(2) + 9y ^(2) - 10x + 90 y + 185 = 0

Find the coordinates of the foci of the hyperboala x^(2) - y^(2) + 1 =0

The coordinates of the foci of the ellipse 20x^2+4y^2=5 are

Find the length of latus rectum and the coordinates of the foci of the ellipse 25x^(2) + 4y^(2) = 100 .

Find the coordinates of the vertices of the ellipse 5 x^(2) + 9y ^(2) - 10x + 90 y + 185 = 0

Find the coordinates of the foci of the rectangular hyperbola x^(2)-y^(2) = 9

Find the length of the latus rectum, eccentricity, coordinates of centre and foci of the ellipse 3x^2+4y^2+6x-8y-5=0 .

The length of latus rectum of the ellipse 9x^(2) + 25y^(2) = 225 is _

The eccentricity of the ellipse 5x^(2) + 9y^(2) = 1 is _

CHHAYA PUBLICATION-ELLIPSE-Very Short Answer Type Qustions
  1. Find the coordinates of a point on the ellipse x^(2) + 2y^(2) = 4 ...

    Text Solution

    |

  2. If the ellipse (x^(2))/(a(1)^(2))+(y^(2))/(b(1)^(2))=1(a(1)^(2)gtb(1)^...

    Text Solution

    |

  3. Find (i) the centre, (ii) vertices, (iii) equations of the axes, (iv) ...

    Text Solution

    |

  4. Find (i) the centre, (ii) vertices, (iii) equations of the axes, (iv) ...

    Text Solution

    |

  5. Find (i) the centre, (ii) vertices, (iii) equations of the axes, (iv) ...

    Text Solution

    |

  6. Find the eccentricity, the length of latus rectum and the centre of e...

    Text Solution

    |

  7. Find the latus rectum , eccentricity and the coordinates of the foci o...

    Text Solution

    |

  8. Examine, with reasons, the validity of the following statement : x^(2...

    Text Solution

    |

  9. The ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 passes through (-3 , ...

    Text Solution

    |

  10. The ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 passes through the...

    Text Solution

    |

  11. The coordinates of the centre and of a vertex of an ellipse are (-2,-...

    Text Solution

    |

  12. The vertices of an ellipse are (-1,2) and (9,2) . If the eccentrici...

    Text Solution

    |

  13. Find the equation of the ellipse whose foci are (2,3) and (-2,3) an...

    Text Solution

    |

  14. The eccentricity of an ellipse is (2)/(3) and the coordinates of its ...

    Text Solution

    |

  15. The distance of a point of the ellipse x^(2) + 3y^(2) = 6 from its ...

    Text Solution

    |

  16. PQ is any double ordinate of the ellipse (x^(2))/(a^(2))+(y^(2))/(b...

    Text Solution

    |

  17. Show that the double ordinate of the auxiliary circle of an ellipse pa...

    Text Solution

    |

  18. O is the centre of an ellipse whose semi-minor axis is b . The ordina...

    Text Solution

    |

  19. If (alpha +beta ) and (alpha - beta ) are the eccentric angles ...

    Text Solution

    |

  20. If the theta and varphi be the eccentric angles of the two ends o...

    Text Solution

    |