Home
Class 12
MATHS
Find the length of latus rectum and the ...

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

Text Solution

Verified by Experts

The correct Answer is:
`(8)/(5)` unit and `(0, pm sqrt(21))`
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 coordinates of the foci of the ellipse 20x^2+4y^2=5 are

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

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

Find the length of latus rectum and the equations of the directrices of the hyperbola 3y^(2) - 4x^(2) = 12

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 eccentricity of the ellipse 25 x^(2) + 4y^(2) = 100 is _

Find the eccentricity, the length of latus rectum and the centre of ellipse 9x^(2) + 16y^(2) - 54 x + 64 y + 1 = 0

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

The length of the latus rectum of the ellipse 16x^(2) + 25y^(2) = 400 is:

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

CHHAYA PUBLICATION-ELLIPSE-Very Short Answer Type Qustions
  1. Find the length of latus rectum and the coordinates of the foci of the...

    Text Solution

    |

  2. find the length of the latus rectum of the ellipse (x^(2))/(9) +(y^(...

    Text Solution

    |

  3. Calculate the eccentricity of the ellipse (x^(2))/(169)+(y^(2))/(144)...

    Text Solution

    |

  4. Find the equations of the directrices of the ellipse x^(2) + 4y^(2) =...

    Text Solution

    |

  5. Find the distance between the foci of the ellipse 3x^(2) + 4y^(2) = ...

    Text Solution

    |

  6. Find the eccentricity of the ellipse if the length of rectum is eq...

    Text Solution

    |

  7. Find the eccentricity of the ellipse if the length of minor axis ...

    Text Solution

    |

  8. Find the eccentricity of the ellipse if the length of minor axis i...

    Text Solution

    |

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

    Text Solution

    |

  10. The ellipse (x^(2))/(169) + (y^(2))/(25) = 1 has the same eccentri...

    Text Solution

    |

  11. Find the positions of the points (i) (-3,1) (ii) (-2,-3) and (ii...

    Text Solution

    |

  12. For what values of a^(2) does the point (2sqrt(3), 1) lie outsid...

    Text Solution

    |

  13. The coordinates of the point on the ellipse 9x^(2) + 16y^(2) = 144 ...

    Text Solution

    |

  14. Find the coordinates of a point on the ellipse x^(2) + 2y^(2) = 4 ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |