Home
Class 12
MATHS
Find the equation of the ellipse whose f...

Find the equation of the ellipse whose foci are (2,3) and (-2,3) and whose semi - minor axis is `sqrt(5)` .

Text Solution

Verified by Experts

The correct Answer is:
`5x^(2) + 9 (y - 3 )^(2) = 45 `
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

Find the equation of the ellipse whose foci are (2, 3) and (-2, 3) and whose length of semi minor axis is sqrt5

Find the equation of the ellipse, for which the foci are (0,1) and (0,-1) and length of the minor axis is 1 unit .

Find the equation of the ellipse whose vertices are (+-13,0) and foci are (+-5,0)

Taking major and minor axes along y and x-axes, find the equation of the ellipse whose coordinates of foci are (0 , pm1) and the length of minor axis is 2 .

Find the equation of the ellipse whose vertices are (-3,5) and (9,5) and eccentricity is sqrt5/3 .

Find the equation of the hyperbola whose foci are (8,3)a n d(0,3) and eccentricity is 4/3dot

Taking the major and minor axes as the axes of coordinates, find the equation of the ellipse whose length of latus rectum is 8 and length of semi - major axis is 9

Find the equation of the ellipse whose foci (0,+-4) and the equation of directries is y=+-9 .

Find the equation of hyperbola : Whose foci are (4, 2) and (8, 2) and eccentricity is 2.

Find the equation of the hyperbola whose vertices are (+-4,0) and foci (+-6,0) .

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

    |